Bibliographies thématiques / Generalized nilpotence

Littérature scientifique sur le sujet « Generalized nilpotence »

Auteur : Grafiati
Publié le 10 mars 2023

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Articles de revues sur le sujet "Generalized nilpotence"

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Kalogeropoulos. « NILPOTENCE AND THE GENERALIZED UNCERTAINTY PRINCIPLE (S) ». American Journal of Space Science 1, no 2 (1 février 2013) : 99–111. http://dx.doi.org/10.3844/ajssp.2013.99.111.

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Kalogeropoulos, Nikolaos. « Nilpotence in physics : Generalized uncertainty principles and Tsallis entropy ». Qatar Foundation Annual Research Forum Proceedings, no 2012 (octobre 2012) : EEP19. http://dx.doi.org/10.5339/qfarf.2012.eep19.

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Asaad, Mohamed. « On weakly ℌ-embedded subgroups and p-nilpotence of finite groups ». Studia Scientiarum Mathematicarum Hungarica 56, no 2 (juin 2019) : 233–40. http://dx.doi.org/10.1556/012.2019.56.2.1374.

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Abstract Let G be a finite group and H a subgroup of G. We say that H is an ℌ-subgroup of G if NG (H) ∩ Hg ≤ H for all g ∈G; H is called weakly ℌ-embedded in G if G has a normal subgroup K such that HG = HK and H ∩ K is an ℌ-subgroup of G, where HG is the normal clousre of H in G, i. e., HG = 〈Hg|g ∈ G〉. In this paper, we study the p-nilpotence of a group G under the assumption that every subgroup of order d of a Sylow p-subgroup P of G with 1 < d < |P| is weakly ℌ-embedded in G. Many known results related to p-nilpotence of a group G are generalized.
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MELIKHOV, SERGEY A., et DUŠAN REPOVŠ. « n-QUASI-ISOTOPY I : QUESTIONS OF NILPOTENCE ». Journal of Knot Theory and Its Ramifications 14, no 05 (août 2005) : 571–602. http://dx.doi.org/10.1142/s0218216505003968.

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It is well-known that no knot can be cancelled in a connected sum with another knot, whereas every link can be cancelled up to link homotopy in a (componentwise) connected sum with another link. In this paper we address the question whether the noncancellation property of knots holds for (piecewise-linear) links up to some stronger analogue of link homotopy, which still does not distinguish between sufficiently close C0-approximations of a topological link. We introduce a sequence of such increasingly stronger equivalence relations under the name of k-quasi-isotopy, k∈ℕ; all of them are weaker than isotopy (in the sense of Milnor). We prove that every link can be cancelled up to peripheral structure preserving isomorphism of any quotient of the fundamental group, functorially invariant under k-quasi-isotopy; functoriality means that the isomorphism between the quotients for links related by any allowable crossing change fits in the commutative diagram with the fundamental group of the complement to the intermediate singular link. The proof invokes Baer's theorem on the join of subnormal locally nilpotent subgroups. On the other hand, the integral generalized ( lk ≠ 0) Sato–Levine invariant [Formula: see text] is invariant under 1-quasi-isotopy, but is not determined by any quotient of the fundamental group (endowed with the peripheral structure), functorially invariant under 1-quasi-isotopy — in contrast to Waldhausen's theorem.As a byproduct, we use [Formula: see text] to determine the image of the Kirk–Koschorke invariant [Formula: see text] of fibered link maps.
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Kelarev, A. V., et J. Okniński. « On group graded rings satisfying polynomial identities ». Glasgow Mathematical Journal 37, no 2 (mai 1995) : 205–10. http://dx.doi.org/10.1017/s0017089500031104.

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A number of classical theorems of ring theory deal with nilness and nilpotency of the Jacobson radical of various ring constructions (see [10], [18]). Several interesting results of this sort have appeared in the literature recently. In particular, it was proved in [1] that the Jacobson radical of every finitely generated PI-ring is nilpotent. For every commutative semigroup ring RS, it was shown in [11] that if J(R) is nil then J(RS) is nil. This result was generalized to all semigroup algebras satisfying polynomial identities in [15] (see [16, Chapter 21]). Further, it was proved in [12] that, for every normal band B, if J(R) is nilpotent, then J(RB) is nilpotent. A similar result for special band-graded rings was established in [13, Section 6]. Analogous theorems concerning nilpotency and local nilpotency were proved in [2] for rings graded by finite and locally finite semigroups.
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Camina, Rachel D., Ainhoa Iñiguez et Anitha Thillaisundaram. « Word problems for finite nilpotent groups ». Archiv der Mathematik 115, no 6 (17 juillet 2020) : 599–609. http://dx.doi.org/10.1007/s00013-020-01504-w.

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AbstractLet w be a word in k variables. For a finite nilpotent group G, a conjecture of Amit states that $$N_w(1)\ge |G|^{k-1}$$ N w ( 1 ) ≥ | G | k - 1 , where for $$g\in G$$ g ∈ G , the quantity $$N_w(g)$$ N w ( g ) is the number of k-tuples $$(g_1,\ldots ,g_k)\in G^{(k)}$$ ( g 1 , … , g k ) ∈ G ( k ) such that $$w(g_1,\ldots ,g_k)={g}$$ w ( g 1 , … , g k ) = g . Currently, this conjecture is known to be true for groups of nilpotency class 2. Here we consider a generalized version of Amit’s conjecture, which states that $$N_w(g)\ge |G|^{k-1}$$ N w ( g ) ≥ | G | k - 1 for g a w-value in G, and prove that $$N_w(g)\ge |G|^{k-2}$$ N w ( g ) ≥ | G | k - 2 for finite groups G of odd order and nilpotency class 2. If w is a word in two variables, we further show that the generalized Amit conjecture holds for finite groups G of nilpotency class 2. In addition, we use character theory techniques to confirm the generalized Amit conjecture for finite p-groups (p a prime) with two distinct irreducible character degrees and a particular family of words. Finally, we discuss the related group properties of being rational and chiral, and show that every finite group of nilpotency class 2 is rational.
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Han, Maoan, et Valery G. Romanovski. « Limit Cycle Bifurcations from a Nilpotent Focus or Center of Planar Systems ». Abstract and Applied Analysis 2012 (2012) : 1–28. http://dx.doi.org/10.1155/2012/720830.

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We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain some new results on the lower and upper bounds of the maximal number of limit cycles bifurcating from the nilpotent focus or center. The main results generalize the classical Hopf bifurcation theory and establish the new bifurcation theory for the nilpotent case.
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Chauhan, B., S. Kumar et R. P. Malik. « Nilpotent charges in an interacting gauge theory and an 𝒩 = 2 SUSY quantum mechanical model : (Anti-)chiral superfield approach ». International Journal of Modern Physics A 34, no 24 (29 août 2019) : 1950131. http://dx.doi.org/10.1142/s0217751x19501318.

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We exploit the power and potential of the (anti-)chiral superfield approach (ACSA) to Becchi–Rouet–Stora–Tyutin (BRST) formalism to derive the nilpotent (anti-)BRST symmetry transformations for any arbitrary [Formula: see text]-dimensional interacting non-Abelian 1-form gauge theory where there is an [Formula: see text] gauge invariant coupling between the gauge field and the Dirac fields. We derive the conserved and nilpotent (anti-)BRST charges and establish their nilpotency and absolute anticommutativity properties within the framework of ACSA to BRST formalism. The clinching proof of the absolute anticommutativity property of the conserved and nilpotent (anti-)BRST charges is a novel result in view of the fact that we consider, in our endeavor, only the (anti-)chiral super expansions of the superfields that are defined on the [Formula: see text]-dimensional super-submanifolds of the general [Formula: see text]-dimensional supermanifold on which our [Formula: see text]-dimensional ordinary interacting non-Abelian 1-form gauge theory is generalized. To corroborate the novelty of the above result, we apply the ACSA to an [Formula: see text] supersymmetric (SUSY) quantum mechanical (QM) model of a harmonic oscillator and show that the nilpotent and conserved [Formula: see text] supercharges of this system do not absolutely anticommute.
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Chauhan, B., S. Kumar et R. P. Malik. « (Anti-)chiral superfield approach to interacting Abelian 1-form gauge theories : Nilpotent and absolutely anticommuting charges ». International Journal of Modern Physics A 33, no 04 (10 février 2018) : 1850026. http://dx.doi.org/10.1142/s0217751x18500264.

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We derive the off-shell nilpotent (fermionic) (anti-)BRST symmetry transformations by exploiting the (anti-)chiral superfield approach (ACSA) to Becchi–Rouet–Stora–Tyutin (BRST) formalism for the interacting Abelian 1-form gauge theories where there is a coupling between the U(1) Abelian 1-form gauge field and Dirac as well as complex scalar fields. We exploit the (anti-)BRST invariant restrictions on the (anti-)chiral superfields to derive the fermionic symmetries of our present D-dimensional Abelian 1-form gauge theories. The novel observation of our present investigation is the derivation of the absolute anticommutativity of the nilpotent (anti-)BRST charges despite the fact that our ordinary D-dimensional theories are generalized onto the (D,[Formula: see text]1)-dimensional (anti-) chiral super-submanifolds (of the general (D,[Formula: see text]2)-dimensional supermanifold) where only the (anti-)chiral super expansions of the (anti-)chiral superfields have been taken into account. We also discuss the nilpotency of the (anti-)BRST charges and (anti-)BRST invariance of the Lagrangian densities of our present theories within the framework of ACSA to BRST formalism.
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Krishna, S., A. Shukla et R. P. Malik. « Supervariable approach to nilpotent symmetries of a couple of N = 2 supersymmetric quantum mechanical models ». Canadian Journal of Physics 92, no 12 (décembre 2014) : 1623–31. http://dx.doi.org/10.1139/cjp-2014-0047.

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We derive the on-shell as well as off-shell nilpotent supersymmetric (SUSY) symmetry transformations for the [Formula: see text] = 2 SUSY quantum mechanical model of a (0 + 1)-dimensional (1D) free SUSY particle by exploiting the SUSY-invariant restrictions on the (anti-)chiral supervariables of the SUSY theory that is defined on a (1, 2)-dimensional supermanifold (parametrized by a bosonic variable t and a pair of Grassmannian variables θ and [Formula: see text] with [Formula: see text]). Within the framework of our novel approach, we express the Lagrangian and conserved SUSY charges in terms of the (anti-)chiral supervariables to demonstrate the SUSY invariance of the Lagrangian as well as the nilpotency of the SUSY conserved charges in a simple manner. Our approach has the potential to be generalized to the description of other [Formula: see text] = 2 SUSY quantum mechanical systems with physically interesting potential functions. To corroborate the preceding assertion, we apply our method to derive the [Formula: see text] = 2 continuous and nilpotent SUSY transformations for one of the simplest interacting SUSY systems of a 1D harmonic oscillator.
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Thèses sur le sujet "Generalized nilpotence"

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Duong, Minh-Thanh. « A new invariant of quadratic lie algebras and quadratic lie superalgebras ». Phd thesis, Université de Bourgogne, 2011. http://tel.archives-ouvertes.fr/tel-00673991.

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In this thesis, we defind a new invariant of quadratic Lie algebras and quadratic Lie superalgebras and give a complete study and classification of singular quadratic Lie algebras and singular quadratic Lie superalgebras, i.e. those for which the invariant does not vanish. The classification is related to adjoint orbits of Lie algebras o(m) and sp(2n). Also, we give an isomorphic characterization of 2-step nilpotent quadratic Lie algebras and quasi-singular quadratic Lie superalgebras for the purpose of completeness. We study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra and 2-step nilpotent pseudo-Euclidean Jordan algebras, in the same manner as it was done for singular quadratic Lie algebras and 2-step nilpotent quadratic Lie algebras. Finally, we focus on the case of a symmetric Novikov algebra and study it up to dimension 7.
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Duong, Minh thanh. « A new invariant of quadratic lie algebras and quadratic lie superalgebras ». Thesis, Dijon, 2011. http://www.theses.fr/2011DIJOS021/document.

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Dans cette thèse, nous définissons un nouvel invariant des algèbres de Lie quadratiques et des superalgèbres de Lie quadratiques et donnons une étude et classification complète des algèbres de Lie quadratiques singulières et des superalgèbres de Lie quadratiques singulières, i.e. celles pour lesquelles l’invariant n’est pas nul. La classification est en relation avec les orbites adjointes des algèbres de Lie o(m) et sp(2n). Aussi, nous donnons une caractérisation isomorphe des algèbres de Lie quadratiques 2-nilpotentes et des superalgèbres de Lie quadratiques quasi-singulières pour le but d’exhaustivité. Nous étudions les algèbres de Jordan pseudoeuclidiennes qui sont obtenues des extensions doubles d’un espace vectoriel quadratique par une algèbre d’une dimension et les algèbres de Jordan pseudo-euclidienne 2-nilpotentes, de la même manière que cela a été fait pour les algèbres de Lie quadratiques singulières et des algèbres de Lie quadratiques 2-nilpotentes. Enfin, nous nous concentrons sur le cas d’une algèbre de Novikov symétrique et l’étudions à dimension 7
In this thesis, we defind a new invariant of quadratic Lie algebras and quadratic Lie superalgebras and give a complete study and classification of singular quadratic Lie algebras and singular quadratic Lie superalgebras, i.e. those for which the invariant does not vanish. The classification is related to adjoint orbits of Lie algebras o(m) and sp(2n). Also, we give an isomorphic characterization of 2-step nilpotent quadratic Lie algebras and quasi-singular quadratic Lie superalgebras for the purpose of completeness. We study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra and 2-step nilpotent pseudo-Euclidean Jordan algebras, in the same manner as it was done for singular quadratic Lie algebras and 2-step nilpotent quadratic Lie algebras. Finally, we focus on the case of a symmetric Novikov algebra and study it up to dimension 7
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Francalanci, Giulio. « Nilpotence relations in products of groups ». Doctoral thesis, 2020. http://hdl.handle.net/2158/1197496.

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Let C be a class of groups, let G be a group and A, B two subgroups of G. We will say that A and B are C-connected if for all element a and b belonging respectively to A and B, the group < a, b > is in the class C. In particular we will focus on N-connection, where N is the class of nilpotent groups. Moreover, G is said to be the product of A and B, i.e. G=AB, if and only if for all element g in G, there exists a in A and b in B such that g=ab. In this thesis, given G=AB where A and B are N-connected subgroups, we discuss how some properties of the subgroups A and B can influence the structure of the whole group G.
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Klüver, Helma [Verfasser]. « Representation theory of unipotent linear algebraic groups and a generalized Kirillov theory for a class of nilpotent groups / vorgelegt von Helma Klüver ». 2007. http://d-nb.info/983113963/34.

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Laurin, Sophie. « Problème centre-foyer et application ». Thèse, 2011. http://hdl.handle.net/1866/5155.

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Dans ce mémoire, nous étudions le problème centre-foyer sur un système polynomial. Nous développons ainsi deux mécanismes permettant de conclure qu’un point singulier monodromique dans ce système non-linéaire polynomial est un centre. Le premier mécanisme est la méthode de Darboux. Cette méthode utilise des courbes algébriques invariantes dans la construction d’une intégrale première. La deuxième méthode analyse la réversibilité algébrique ou analytique du système. Un système possédant une singularité monodromique et étant algébriquement ou analytiquement réversible à ce point sera nécessairement un centre. Comme application, dans le dernier chapitre, nous considérons le modèle de Gauss généralisé avec récolte de proies.
In this thesis, we study the center-focus problem in a polynomial system. We describe two mechanisms to conclude that a monodromic singular point in this polynomial system is a center. The first one is the method of Darboux. In this method, one uses invariant algebraic curves to build a first integral. The second method is the algebraic (and analytic) reversibility. A monodromic singularity, which is algebraically or analytically reversible at the singular point, is necessarily a center. As an application, in the last chapter, we consider the generalized Gause model with prey harvesting and a generalized Holling response function of type III.
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Chapitres de livres sur le sujet "Generalized nilpotence"

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Perelomov, Askold. « Coherent States for Nilpotent Lie Groups ». Dans Generalized Coherent States and Their Applications, 119–25. Berlin, Heidelberg : Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-61629-7_11.

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Dhara, Basudeb. « Generalized Derivations with Nilpotent Values on Multilinear Polynomials in Prime Rings ». Dans Algebra and its Applications, 307–19. Singapore : Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1651-6_18.

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Algaba, Antonio, Natalia Fuentes, Cristóbal García et Manuel Reyes. « Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems ». Dans SEMA SIMAI Springer Series, 287–300. Cham : Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32013-7_16.

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Calin, Ovidiu, Der-Chen Chang et Irina Markina. « Generalized Hamilton—Jacobi Equation and Heat Kernel on Step Two Nilpotent Lie Groups ». Dans Analysis and Mathematical Physics, 49–76. Basel : Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-9906-1_3.

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« Generalized Lie Nilpotence in Integral Group Rings ». Dans Non-Associative Algebra and Its Applications, 45–52. Chapman and Hall/CRC, 2006. http://dx.doi.org/10.1201/9781420003451-10.

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Bahturin, Yu, et M. Parmenter. « Generalized Lie Nilpotence in Integral Group Rings ». Dans Lecture Notes in Pure and Applied Mathematics, 9–16. Chapman and Hall/CRC, 2006. http://dx.doi.org/10.1201/9781420003451.ch2.

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Lukas, Andre. « The Jordan normal form* ». Dans The Oxford Linear Algebra for Scientists, 272–84. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198844914.003.0021.

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Abstract The Jordan normal form for linear maps is developed systematically. Generalised eigenspaces and nilpotent linear maps are defined. The structure of nilpotent maps is analysed in detail and this leads to the Jordan normal form. These results are applied to a number of examples, including matrices and differential operators.
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Actes de conférences sur le sujet "Generalized nilpotence"

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Petrik, Milan. « On generalized mulholland inequality and dominance on nilpotent triangular norms ». Dans 2017 Joint 17th World Congress of International Fuzzy Systems Association and 9th International Conference on Soft Computing and Intelligent Systems (IFSA-SCIS). IEEE, 2017. http://dx.doi.org/10.1109/ifsa-scis.2017.8023247.

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