Relevant bibliographies by topics / Torsion theory (algebra)

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Torsion theory (algebra)'

Author: Grafiati
Published: 4 June 2021
Last updated: 5 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Torsion theory (algebra).'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Torsion theory (algebra)"

1

PRICE, KENNETH L. "A DOMAIN TEST FOR LIE COLOR ALGEBRAS." Journal of Algebra and Its Applications 07, no. 01 (February 2008): 81–90. http://dx.doi.org/10.1142/s0219498808002679.

Full text
Abstract:
Lie color algebras are generalizations of Lie superalgebras and graded Lie algebras. The properties of a Lie color algebra can often be related directly to the ring structure of its universal enveloping algebra. We study the effects of torsion elements and torsion subspaces. Let [Formula: see text] denote a Lie color algebra. If [Formula: see text] is homogeneous and torsion then x2 = 0 in [Formula: see text]. If no homogeneous element of [Formula: see text] is torsion, then [Formula: see text] so [Formula: see text] is semiprime. In this case we can give a test which uses Gröbner basis methods to determine when [Formula: see text] is a domain. This is applied in an example to show [Formula: see text] may be a domain even if [Formula: see text] contains torsion elements and torsion subspaces.
APA, Harvard, Vancouver, ISO, and other styles
2

Okoh, F. "Torsion-Free and Divisible Modules Over Finite-Dimensional Algebras." Canadian Mathematical Bulletin 39, no. 1 (March 1, 1996): 111–14. http://dx.doi.org/10.4153/cmb-1996-014-9.

Full text
Abstract:
AbstractIf R is a Dedekind domain, then div splits i.e.; the maximal divisible submodule of every R-module M is a direct summand of M. We investigate the status of this result for some finite-dimensional hereditary algebras. We use a torsion theory which permits the existence of torsion-free divisible modules for such algebras. Using this torsion theory we prove that the algebras obtained from extended Coxeter- Dynkin diagrams are the only such hereditary algebras for which div splits. The field of rational functions plays an essential role. The paper concludes with a new type of infinite-dimensional indecomposable module over a finite-dimensional wild hereditary algebra.
APA, Harvard, Vancouver, ISO, and other styles
3

BARLAK, SELÇUK, TRON OMLAND, and NICOLAI STAMMEIER. "On the -theory of -algebras arising from integral dynamics." Ergodic Theory and Dynamical Systems 38, no. 3 (September 22, 2016): 832–62. http://dx.doi.org/10.1017/etds.2016.63.

Full text
Abstract:
We investigate the$K$-theory of unital UCT Kirchberg algebras${\mathcal{Q}}_{S}$arising from families$S$of relatively prime numbers. It is shown that$K_{\ast }({\mathcal{Q}}_{S})$is the direct sum of a free abelian group and a torsion group, each of which is realized by another distinct$C^{\ast }$-algebra naturally associated to$S$. The$C^{\ast }$-algebra representing the torsion part is identified with a natural subalgebra${\mathcal{A}}_{S}$of${\mathcal{Q}}_{S}$. For the$K$-theory of${\mathcal{Q}}_{S}$, the cardinality of$S$determines the free part and is also relevant for the torsion part, for which the greatest common divisor$g_{S}$of$\{p-1:p\in S\}$plays a central role as well. In the case where$|S|\leq 2$or$g_{S}=1$we obtain a complete classification for${\mathcal{Q}}_{S}$. Our results support the conjecture that${\mathcal{A}}_{S}$coincides with$\otimes _{p\in S}{\mathcal{O}}_{p}$. This would lead to a complete classification of${\mathcal{Q}}_{S}$, and is related to a conjecture about$k$-graphs.
APA, Harvard, Vancouver, ISO, and other styles
4

Bland, Paul E. "Differential torsion theory." Journal of Pure and Applied Algebra 204, no. 1 (January 2006): 1–8. http://dx.doi.org/10.1016/j.jpaa.2005.03.005.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Robertson, Guyan, and Tim Steger. "AsymptoticK-Theory for Groups Acting onÃ2Buildings." Canadian Journal of Mathematics 53, no. 4 (August 1, 2001): 809–33. http://dx.doi.org/10.4153/cjm-2001-033-4.

Full text
Abstract:
AbstractLet Γ be a torsion free lattice inG= PGL(3,) whereis a nonarchimedean local field. Then Γ acts freely on the affine Bruhat-Tits building ℬ ofGand there is an induced action on the boundary Ω of ℬ. The crossed productC*-algebra(Γ) =C(Ω) ⋊ Γ depends only on Γ and is classified by itsK-theory. This article shows how to compute theK-theory of(Γ) and of the larger class of rank two Cuntz-Krieger algebras.
APA, Harvard, Vancouver, ISO, and other styles
6

Kaufmann, Ralph M. "The algebra of discrete torsion." Journal of Algebra 282, no. 1 (December 2004): 232–59. http://dx.doi.org/10.1016/j.jalgebra.2004.07.042.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Adachi, Takahide, Osamu Iyama, and Idun Reiten. "-tilting theory." Compositio Mathematica 150, no. 3 (December 3, 2013): 415–52. http://dx.doi.org/10.1112/s0010437x13007422.

Full text
Abstract:
AbstractThe aim of this paper is to introduce $\tau $-tilting theory, which ‘completes’ (classical) tilting theory from the viewpoint of mutation. It is well known in tilting theory that an almost complete tilting module for any finite-dimensional algebra over a field $k$ is a direct summand of exactly one or two tilting modules. An important property in cluster-tilting theory is that an almost complete cluster-tilting object in a 2-CY triangulated category is a direct summand of exactly two cluster-tilting objects. Reformulated for path algebras $kQ$, this says that an almost complete support tilting module has exactly two complements. We generalize (support) tilting modules to what we call (support) $\tau $-tilting modules, and show that an almost complete support $\tau $-tilting module has exactly two complements for any finite-dimensional algebra. For a finite-dimensional $k$-algebra $\Lambda $, we establish bijections between functorially finite torsion classes in $ \mathsf{mod} \hspace{0.167em} \Lambda $, support $\tau $-tilting modules and two-term silting complexes in ${ \mathsf{K} }^{\mathrm{b} } ( \mathsf{proj} \hspace{0.167em} \Lambda )$. Moreover, these objects correspond bijectively to cluster-tilting objects in $ \mathcal{C} $ if $\Lambda $ is a 2-CY tilted algebra associated with a 2-CY triangulated category $ \mathcal{C} $. As an application, we show that the property of having two complements holds also for two-term silting complexes in ${ \mathsf{K} }^{\mathrm{b} } ( \mathsf{proj} \hspace{0.167em} \Lambda )$.
APA, Harvard, Vancouver, ISO, and other styles
8

TRUINI, P., and V. S. VARADARAJAN. "QUANTIZATION OF REDUCTIVE LIE ALGEBRAS: CONSTRUCTION AND UNIVERSALITY." Reviews in Mathematical Physics 05, no. 02 (June 1993): 363–415. http://dx.doi.org/10.1142/s0129055x93000103.

Full text
Abstract:
The present paper addresses the question of universality of the quantization of reductive Lie algebras. Quantization is viewed as a torsion free deformation depending upon several parameters which are treated formally and not as complex numbers. The coalgebra and algebra structures are shown to restrict very sharply the possibilities for the infinite series in the generators of the Cartan subalgebra. Under an Ansatz which can be viewed as requiring that the two Borel subalgebras are deformed as Hopf algebras we construct a multi-parameter quantization which has the required property of universality. We also show that such a quantization can be defined so that the algebra structure is the same as that of the standard one-parameter quantization, the remaining parameters being relegated to the coalgebra structure. We discuss an example in which only the latter parameters appear in the deformation. We then complete the study of the universal deformations by developing some aspects of the representation theory of the deformed algebras. Using this theory, especially the freeness of the irreducible modules, we prove the analogue of the Poincaré-Birkhoff-Witt theorem, and, as a consequence, the torsion freeness of the universal deformations.
APA, Harvard, Vancouver, ISO, and other styles
9

Li, Hou Guo. "Application of Lie Group Analysis to the Plastic Torsion of Rod with the Saint Venant–Mises Yield Criterion." Advanced Materials Research 461 (February 2012): 265–71. http://dx.doi.org/10.4028/www.scientific.net/amr.461.265.

Full text
Abstract:
Based on Lie group and Lie algebra theory, the basic principles of Lie group analysis of differential equations in mechanics are analyzed, and its validity in theory of plasticity is explained by example. For the plastic torsion of rod with variable cross section that consists in non-linear Saint Venant-Mises yield criterion, the 10-dimensional Lie algebra admitted by the equilibrium equation and yield criterion is completely solved, and invariants and group invariant solutions relative to different sub-algebras are given. At last, physical explanations of each group invariant solution are discussed by some types of transformations.
APA, Harvard, Vancouver, ISO, and other styles
10

Colby, R. R., and K. R. Fuller. "Hereditary Torsion Theory Counter Equivalences." Journal of Algebra 183, no. 1 (July 1996): 217–30. http://dx.doi.org/10.1006/jabr.1996.0215.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Torsion theory (algebra)"

1

Charalambides, Stelios, and n/a. "Topics in torsion theory." University of Otago. Department of Mathematics & Statistics, 2006. http://adt.otago.ac.nz./public/adt-NZDU20070216.161043.

Full text
Abstract:
The purpose of this thesis is to generalize to the torsion-theoretic setting various concepts and results from the theory of rings and modules. In order to accomplish this we begin with some preliminaries which introduce the main ideas used in torsion theory, the major ones being [tau]-torsion and [tau]-torsionfree modules as well as [tau]-dense and [tau]-pure submodules. In the first chapter we also introduce a new concept, that of a [tau]-compact module, which is basic enough to deserve a place among the preliminaries. The results that we obtain fall into three areas which are to a certain degree interrelated. The first area is on [tau]-Max modules, which we introduce as a torsion-theoretic analogue of Max modules. The main aim is to generalize a well-known result by Shock which characterizes Noetherian rings by using the socle, the radical and Max modules. All of these concepts have torsion-theoretic counterparts which we utilize in our generalization. Furthermore, we define and characterize left [tau]-Max rings and apply the torsion-theoretic version of Shock�s theorem to obtain a characterization of [tau]-short modules motivated by a recent article in which short modules were introduced. The second area deals with various flavours of [tau]-injectivity, some known and some new. We introduce [tau]-M-injective and s-[tau]-M-injective modules and examine their relationship with the known concepts of [tau]-injective and [tau]-quasi-injective modules. We then provide an improved version of the Generalized Fuchs Criterion which characterizes s-[tau]-M-injective modules, and give a generalization of Azumaya�s Lemma. We also prove that every M-generated module has a [tau]-M-injective hull which is unique up to isomorphism and show how this is linked to the [tau]-quasi-injective hull. We then examine [Sigma]-[tau]-injectivity, generalizing well-known results by Faith, Albu and Năstăsescu and Cailleau which provide necessary and sufficient conditions for the [Sigma]-[tau]-injective property, the [Sigma]-s-[tau]-M-injective property and for a direct sum of [Sigma]-s-[tau]-M-injective modules to be [Sigma]-s-[tau]-M-injective. In the third area we introduce a couple of new concepts with the aim of bringing to the torsion-theoretic setting the concept of a CS or extending module. The approach is twofold. The first is via [tau]-CS modules which serve as a generalization of CS modules as well as [tau]-quasi-continuous, [tau]-quasi-injective and [tau]-injective modules, and the second is via s-[tau]-CS modules which are a special case of CS modules. Our motivation is to provide a torsion-theoretic analogue of a well-known result by Okado which characterizes Noetherian modules. We have some partial results using s-[tau]-CS modules and a nice torsion-theoretic analogue, albeit without the use of [tau]-CS or s-[tau]-CS modules. We also examine the relationship between our relative versions of CS modules with those of other authors and obtain refinements to some of their results.
APA, Harvard, Vancouver, ISO, and other styles
2

Hesselmann, Sabine. "Zur Torsion der Kohomologie S-arithmetischer Gruppen." Bonn : [s.n.], 1993. http://catalog.hathitrust.org/api/volumes/oclc/31482302.html.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

ACOSTA, DE OROZCO MARIA TEODORA. "FIELDS DEFINED BY RADICALS: THEIR TORSION GROUP AND THEIR LATTICE OF SUBFIELDS." Diss., The University of Arizona, 1987. http://hdl.handle.net/10150/184040.

Full text
Abstract:
Let L/F be a finite separable extension. L* = L\{0}, and T(L*/F*) be the torsion subgroup of L*/F*. We explicitly determined T(L*/F*) when L/F is an abelian extension. This information is used to study the structure of T(L*/F*). In particular T(F(α)*/F*) when αᵐ = a ∈ F is explicitly determined. Let Xᵐ - a be irreducible over F with char F χ m and let α be a root of Xᵐ - a. We study the lattice of subfields of F(α)/F and to this end C(F(α)/F,k) is defined to be the number of subfields of F(α) of degree k over F. C(f(α)/F,pⁿ) is explicitly determined for p a prime and the following structure theorem for the lattice of subfields is proved. Let N be the maximal normal subfield of F(α) and set n = [N:F], then C(F(α)/F,k) = C(F(α)/F,(k,n)) = C(N/F,(k,n)). The irreducible binomials X⁸ - b, X⁸ - c are said be equivalent if there exist roots β⁸ = b, γ⁸ = c that F(β) = F(γ). All the mutually inequivalent binomials which have roots in F(α) are determined. These results are applied the study of normal binomials and those irreducible binomials X²ᵉ - a which are normal over F(charF ≠ 2) together their Galois groups are characterized. We finished by considering the radical extension F(α)/F, αᵐ ∈ F, where the binominal Xᵐ - αᵐ is not necessarily irreducible. We see that in the case not every subfield of F(α)/F is the compositum of subfields of prime power order. We determine some conditions such that if F ⊆ H ⊆ F(α) with [H:F] = pᵘq, p a prime, (p,q) = 1, then there exists a subfield F ⊆ R ⊆ H where [R:F] = pᵘ.
APA, Harvard, Vancouver, ISO, and other styles
4

Adhikari, S. Prashanth. "Torsion in the homology of the general linear group for a ring of algebraic integers /." Thesis, Connect to this title online; UW restricted, 1997. http://hdl.handle.net/1773/5770.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Nyirenda, Darlison. "Torsion points on elliptic curves." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/80120.

Full text
Abstract:
Thesis (MSc)--Stellenbosch University, 2013.
ENGLISH ABSTRACT: The central objective of our study focuses on torsion points on elliptic curves. The case of elliptic curves over finite fields is explored up to giving explicit formulae for the cardinality of the set of points on such curves. For finitely generated fields of characteristic zero, a presentation and discussion of some known results is made. Some applications of elliptic curves are provided. In one particular case of applications, we implement an integer factorization algorithm in a computer algebra system SAGE based on Lenstra’s elliptic curve factorisation method.
AFRIKAANSE OPSOMMING: Die hoofdoel van ons studie is torsiepunte op elliptiese krommes. Ons ondersoek die geval van elliptiese krommes oor ‘n eindige liggaam met die doel om eksplisiete formules vir die aantal punte op sulke krommes te gee. Vir ‘n eindig-voortgebringde liggaam met karakteristiek nul bespreek ons sekere bekende resultate. Sommige toepassings van elliptiese krommes word gegee. In een van hierdie toepassings implementeer ons ‘n heeltallige faktoriseringalgoritme in die rekenaar-algebrastelsel SAGE gebaseer op Lenstra se elliptiese krommefaktoriseeringmetode.
APA, Harvard, Vancouver, ISO, and other styles
6

Moreno, Agustin. "Algebraic Torsion in Higher-Dimensional Contact Manifolds." Doctoral thesis, Humboldt-Universität zu Berlin, 2019. http://dx.doi.org/10.18452/19849.

Full text
Abstract:
Wir konstruieren Beispiele von Kontaktmannigfaltigkeiten in jeder ungeraden Dimension, welche endliche nicht-triviale algebraische Torsion (im Sinne von Latschev-Wendl) aufweisen, somit straff sind und keine starke symplektische Füllung haben. Wir beweisen, dass Giroux Torsion algebraische 1-Torsion in jeder ungeraden Dimension impliziert, womit eine Vermutung von Massot-Niederkrüger-Wendl bewiesen wird. Wir konstruieren unendlich viele nicht diffeomorphe Beispiele von 5-dimensionalen Kontaktmannigfaltigkeiten, welche straff sind, keine starke symplektische Füllung zulassen und keine Giroux Torsion haben. Wir erhalten Obstruktionen für symplektische Kobordismen, ohne für deren Beweis die SFT Maschinerie zu verwenden. Wir geben eine provisorische Definition eines spinalen offenen Buchs in höherer Dimension an, basierend auf der vom 3-dimensionalen Fall aus Lisi-van Horn Morris-Wendl. In einem Anhang geben wir in gemeinsamer Autorenschaft mit Richard Siefring eine wesentliche Zusammenfassung der Schnitttheorie für punktierte holomorphe Kurven und Hyperflächen an, welche die 3-dimensionalen Resultate von Siefring auf höhere Dimensionen verallgemeinert. Mittels der Schnitttheorie erhalten wir eine Anwendung für holomorphe Blätterungen von Kodimension zwei, die wir benutzen um das Verhalten von holomorphem Kurven in unseren Beispielen einzuschränken.
We construct examples in any odd dimension of contact manifolds with finite and non-zero algebraic torsion (in the sense of Latschev-Wendl), which are therefore tight and do not admit strong symplectic fillings. We prove that Giroux torsion implies algebraic 1-torsion in any odd dimension, which proves a conjecture of Massot-Niederkrüger-Wendl. We construct infinitely many non-diffeomorphic examples of 5-dimensional contact manifolds which are tight, admit no strong fillings, and do not have Giroux torsion. We obtain obstruction results for symplectic cobordisms, for which we give a proof not relying on SFT machinery. We give a tentative definition of a higher-dimensional spinal open book decomposition, based on the 3-dimensional one of Lisi-van Horn Morris-Wendl. An appendix written in co-authorship with Richard Siefring gives a basic outline of the intersection theory for punctured holomorphic curves and hypersurfaces, which generalizes his 3-dimensional results to higher dimensions. From the intersection theory we obtain an application to codimension-2 holomorphic foliations, which we use to restrict the behaviour of holomorphic curves in our examples.
APA, Harvard, Vancouver, ISO, and other styles
7

Juteau, Daniel. "Correspondance de Springer modulaire et matrices de décomposition." Phd thesis, Université Paris-Diderot - Paris VII, 2007. http://tel.archives-ouvertes.fr/tel-00355559.

Full text
Abstract:
In 1976, Springer defined a correspondence making a link between the irreducible ordinary (characteristic zero) representations of a Weyl group and the geometry of the associated nilpotent variety. In this thesis, we define a modular Springer correspondence (in positive characteristic), and we show that the decomposition numbers of a Weyl group (for example the symmetric group) are particular cases of decomposition numbers for equivariant perverse sheaves on the nilpotent variety. We calculate explicitly the decomposition numbers associated to the regular and subregular classes, and to the minimal and trivial classes. We determine the correspondence explicitly in the case of the symmetric group, and show that James's row and column removal rule is a consequence of a smooth equivalence of nilpotent singularities obtained by Kraft and Procesi. The first chapter contains generalities about perverse sheaves with Z_l and F_l coefficients.
APA, Harvard, Vancouver, ISO, and other styles
8

Gray, Derek Johanathan. "On purity relative to an hereditary torsion theory." Thesis, 1992. http://hdl.handle.net/10413/5722.

Full text
Abstract:
The thesis is mainly concerned with properties of the concept "σ-purity" introduced by J. Lambek in "Torsion Theories, Additive Semantics and Rings of Quotients", (Springer-Verlag, 1971). In particular we are interested in modul es M for which every exact sequence of the form O→M→K→L→O (or O→K→M→L→O or O→K→L→M→O) is σ-pure exact. Modules of the first type turn out to be precisely the σ- injective modules of O. Goldman (J. Algebra 13, (1969), 10-47). This characterization allows us to study σ- injectivity from the perspective of purity. Similarly the demand that every short exact sequence of modules of the form O→K→M→L→O or O→K→L→M→O be σ-pure exact leads to concepts which generalize regularity and flatness respectively. The questions of which properties of regularity and flatness extend to these more general concepts of σ- regularity and σ-flatness are investigated. For various classes of rings R and torsion radicals σ on R-mod, certain conditions equivalent to the σ-regularity and the σ-injectivity of R are found. We also introduce some new dimensions and study semi-σ-flat and semi-σ-injective modules (defined by suitably restricting conditions on σ-flat and σ-injective modules). We further characterize those rings R for which every R-module is semi- σ-flat. The related concepts of a projective cover and a perfect ring (introduced by H. Bass in Trans. Amer. Math. Soc. 95, (1960), 466-488) are extended in a 'natural way and, inter alia , we obtain a generalization of a famous theorem of Bass. Lastly, we develop a relativized version of the Jacobson Radical which is shown to have properties analogous to both the classical Jacobson Radical and a radical due to J.S. Golan.
Thesis (Ph.D.)-University of Natal, 1992.
APA, Harvard, Vancouver, ISO, and other styles
9

Van, den Berg John Eric. "On chain domains, prime rings and torsion preradicals." Thesis, 1995. http://hdl.handle.net/10413/11303.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Torsion theory (algebra)"

1

Bland, Paul E. Topics in torsion theory. Berlin, F.R.G: Wiley-VCH, 1998.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Torsion theories. Harlow, Essex, England: Longman Scientific & Technical, 1986.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Call, Frederick W. Torsion theoretic algebraic geometry. Kingston, Ont. Canada: Queen's University, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Brandal, Willy. Torsion theories over commutative rings. Moscow, Idaho: BCS Associates, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Sebastian, Goette, ed. Families torsion and Morse functions. Paris: Société mathématique de France, 2001.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Gardner, B. J. Radical theory. Harlow, Essex, England: Longman Scientific & Technical, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Calegari, Frank. A torsion Jacquet-Langlands correspondence. Paris: Société Mathématique de France, 2019.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Fujita, Yasutsugu. Torsion of elliptic curves over number fields. Sendai, Japan: Tohoku University, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Beligiannis, Apostolos. Homological and homotopical aspects of Torsion theories. Providence, RI: American Mathematical Society, 2007.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Teply, Mark L. Semicocritical modules. [Murcia (España)]: Secretariado de Publicaciones e Intercambio Científico, Universidad de Murcia (España), 1986.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Torsion theory (algebra)"

1

Turaev, Vladimir. "Algebraic Theory of Torsions." In Introduction to Combinatorial Torsions, 1–22. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8321-4_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Ranicki, Andrew. "The algebraic theory of torsion I. Foundations." In Lecture Notes in Mathematics, 199–237. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074445.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Raskind, Wayne. "Torsion Algebraic Cycles on Varieties Over Local Fields." In Algebraic K-Theory: Connections with Geometry and Topology, 343–88. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2399-7_12.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Kolster, Manfred. "Odd Torsion in the Tame Kernel of Totally Real Number Fields." In Algebraic K-Theory: Connections with Geometry and Topology, 177–88. Dordrecht: Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2399-7_7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Mutzbauer, Otto. "Endomorphism rings of torsion-free abelian groups of finite rank." In Advances in Algebra and Model Theory, 319–44. CRC Press, 2019. http://dx.doi.org/10.1201/9780367810603-17.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Shelah, Saharon. "Non-existence of universals for classes like reduced torsion free abelian groups under embeddings which are not necessarily pure." In Advances in Algebra and Model Theory, 229–86. CRC Press, 2019. http://dx.doi.org/10.1201/9780367810603-15.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Couveignes, Jean-Marc. "Approximating Vf over the complex numbers." In Computational Aspects of Modular Forms and Galois Representations. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691142012.003.0012.

Full text
Abstract:
This chapter addresses the problem of computing torsion divisors on modular curves with an application to the explicit calculation of modular representations. The final result of the chapter is Theorem 12.14.1 (approximating Vsubscript f). It identifies two differences between this Theorem 12.14.1 and Theorem 12.10.7. First, it claims that it can separate the cuspidal and the finite part of Qₓ. Second, it returns algebraic coordinates b and x for the points Qsubscript x,n rather than analytic ones.
APA, Harvard, Vancouver, ISO, and other styles
8

Couveignes, Jean-Marc. "Computing Vf modulo p." In Computational Aspects of Modular Forms and Galois Representations. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691142012.003.0013.

Full text
Abstract:
This chapter addresses the problem of computing in the group of lsuperscript k-torsion rational points in the Jacobian variety of algebraic curves over finite fields, with an application to computing modular representations. An algorithm in this chapter usually means a probabilistic Las Vegas algorithm. In some places it gives deterministic or probabilistic Monte Carlo algorithms, but this will be stated explicitly. The main reason for using probabilistic Turing machines is that there is a need to construct generating sets for the Picard group of curves over finite fields. Solving such a problem in the deterministic world is out of reach at this time. The unique goal is to prove, as quickly as possible, that the problems studied in this chapter can be solved in probabilistic polynomial time.
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Torsion theory (algebra)"

1

SMITH, PATRICK F. "INJECTIVE DIMENSION RELATIVE TO A TORSION THEORY." In Proceedings of the International Conference on Algebras, Modules and Rings. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774552_0021.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

CRIVEI, IULIU, and SEPTIMIU CRIVEI. "DIVISIBLE MODULES WITH RESPECT TO A TORSION THEORY." In Proceedings of the International Conference on Algebras, Modules and Rings. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774552_0004.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Jagannath, Vivek, Shushrut Kumar, and P. Visalakshi. "Replicare: Real-Time Human Arms Movement Replication by a Humanoid Torso." In International Research Conference on IOT, Cloud and Data Science. Switzerland: Trans Tech Publications Ltd, 2023. http://dx.doi.org/10.4028/p-5s1927.

Full text
Abstract:
Robotics is a field that has actively been working to reduce the involvement of humans in dangerous environments by automating tasks. In this paper, we propose a method to be able to remotely control a humanoid torso in a telekinetic method. The humanoid torso replicates the pose of the person controlling it remotely by detecting the pose of their arms through an input from an RGB camera in real-time using computer vision techniques based on machine learning algorithms. By detecting the pose, the humanoid’s joints (shoulders and elbows) are positioned to replicate the pose of the person controlling it. This task is achieved by mapping the positions of the joints of the person controlling the robot to a set of equations using vector algebra. Such a systemensures that the movements executed are not only oriented to the end-effector reaching the desired location, but it also ensures that the position of every part of the robot can be controlled to move in the required manner. This level of control eliminates the complexities of collision detection in teleoperated robotic systems and also increases the range of applications such a system can be used in efficiently.
APA, Harvard, Vancouver, ISO, and other styles
4

Zhu, W. D., Y. G. Mao, and G. X. Ren. "Dynamic Modeling and Analysis of Three-Dimensional Slack Cables With Application to Elevator Traveling Cables." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-53691.

Full text
Abstract:
This paper addresses three-dimensional dynamic modeling of a moving elevator traveling cable with bending and torsional stiffnesses and arbitrarily moving ends. An absolute nodal coordinate formulation based on Rayleigh beam theory is introduced to model the traveling cable. Dynamic equations of motion, which are presented as differential algebraic equations, are solved by the backward differentiation formula. Equilibria of a traveling cable with different cable parameters and car positions are first calculated. Motions of cable ends are prescribed next to simulate the free response of the traveling cable due to motion of the car. Finally, effects of different types of building sways on dynamic responses of the traveling cable are examined.
APA, Harvard, Vancouver, ISO, and other styles
5

Pinto, Waldir T., and Carlos A. Levi. "On the Axial-Flexural-Torsional Coupling of Underwater Slender Cylinders." In ASME 2012 31st International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/omae2012-83829.

Full text
Abstract:
This paper presents a numerical model for the simulation of the axial-flexural-torsional coupling of undewater cylindrical structures. Cylindrical structures are largely utilized in the marine environment in a wide range of applications as in risers, marine cables, flexible pipes, mooring systems and so on. They may exhibit complex axial-flexural-torsional coupling, which makes the structural analysis highly nonlinear. In addition, the fluid-structure interaction may include flow induced vibrations, frequency lock-in and internal flow effects. The proposed three-dimensional model assumes that the structure aspect ratio is very high, its cross section is circular, the cable is elastic and may experience large displacements and large strains, as long as the elastic regime holds. The steady state load on the cylinder consists of the self-weight and buoyancy, drag and lift forces, in addition to a distributed residual twist along the cylinder. The drag and lift forces are evaluated by Morison type formulation. The governing differential equations are derived from first principles, assuming Newtonian mechanics. Then, they are solved numerically by a finite element formulation based on nonlinear space frame elements. The resulting set of algebraic equations is solved by a minimization technique that uses the Newton-Raphson algorithm. Results show the ability of the model to predict the static configuration of equilibrium of the cylinder and to capture the coupling between axial, flexural and torsional responses of the cylinder.
APA, Harvard, Vancouver, ISO, and other styles
6

KAREEM, SHADMAN. "Integer-valued polynomials and binomially Noetherian rings." In 3rd International Conference of Mathematics and its Applications. Salahaddin University-Erbil, 2020. http://dx.doi.org/10.31972/ticma22.07.

Full text
Abstract:
A torsion free as a Z- module ring R with unit is said to be a binomial ring if it is preserved as binomial symbol (a¦i)≔(a(a-1)(a-2)…(a-(i-1)))/i!, for each a∈R and i ≥ 0. The polynomial ring of integer-valued in rational polynomial Q[X] is defined by Int (Z^X):={h∈Q[X]:h(Z^X)⊂Z} an important example for binomial ring and is non-Noetherian ring. In this paper the algebraic structure of binomial rings has been studied by their properties of binomial ideals. The notion of binomial ideal generated by a given set has been defined. Which allows us to define new class of Noetherian ring using binomial ideals, which we named it binomially Noetherian ring. One of main result the ring Int (Z^({x,y})) over variables x and y present as an example of that kind of class of Noetherian. In general the ring Int(Z^X) over the finite set of variables X and for a particular F subset in Z the rings Int(F^(〖{x〗_1,x_2,...,x_i} ),Z)={h∈Q[x_1,x_2,...,x_i ]:h(F^(〖{x〗_1,x_2,...,x_i} ))⊆ Z} both are presented as examples of that kind of class of Noetherian.
APA, Harvard, Vancouver, ISO, and other styles
7

Weber, Stefan, Hannes Benetschik, Dieter Peitsch, and Heinz E. Gallus. "A Numerical Approach to Unstalled and Stalled Flutter Phenomena in Turbomachinery Cascades." In ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-gt-102.

Full text
Abstract:
During the design process of compressor and turbine blades the investigation of flutter phenomena becomes increasingly important since higher load and better efficiency are desired. As an improvement on the numerical analysis and prediction of unsteady flow through turbomachine cascades with vibrating blades a time accurate Navier Stokes code for S1-stream surfaces SAFES1 is presented within the scope of this paper. To validate the code, numerical results for sub- and transonic test cases of a turbine and a compressor cascade are compared with experimental data. Their good agreement and comparison with Euler calculations show the necessity to take into account viscous effects. To cope with shock waves and areas of separation in laminar or turbulent flow, the fully non linearized Navier Stokes equations are solved using an algebraic turbulence model by Baldwin and Lomax. An approximative upwind flux difference splitting scheme suggested by Roe is implemented. Third order spatial accuracy can be achieved by the MUSCL technique in conjunction with a TVD scheme and a flux limiter by van Albada. By applying either an explicit or an implicit scheme the algorithm can give second order temporal accuracy. The implicit scheme exactly describes the time dependent solution by following a Newton subiteration for every time step. The blades are discretized in a single passage by a C- or O-type grid. The harmonic motion of the blades is bending or torsion or both simultaneously in a non-rotating or rotating frame of reference. For the chosen mode of oscillation the time dependent axial and circumferential blade forces are determined as well as the resulting moment and damping coefficient. To handle a phaseshift between the motion of the blades a direct store method is used. For the unsteady grid movement a fast grid generation is performed in the core region.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Torsion theory (algebra)' for particular source types:
Journal articles Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography