Bibliographies thématiques / Poincaré-Birkhoff theorem / Articles de revues

Articles de revues sur le sujet « Poincaré-Birkhoff theorem »

Pour voir les autres types de publications sur ce sujet consultez le lien suivant : Poincaré-Birkhoff theorem.
Auteur : Grafiati
Publié le 14 mars 2023

Créez une référence correcte selon les styles APA, MLA, Chicago, Harvard et plusieurs autres

Choisissez une source :

Consultez les 50 meilleurs articles de revues pour votre recherche sur le sujet « Poincaré-Birkhoff theorem ».

À côté de chaque source dans la liste de références il y a un bouton « Ajouter à la bibliographie ». Cliquez sur ce bouton, et nous générerons automatiquement la référence bibliographique pour la source choisie selon votre style de citation préféré : APA, MLA, Harvard, Vancouver, Chicago, etc.

Vous pouvez aussi télécharger le texte intégral de la publication scolaire au format pdf et consulter son résumé en ligne lorsque ces informations sont inclues dans les métadonnées.

Parcourez les articles de revues sur diverses disciplines et organisez correctement votre bibliographie.

1

Bonfiglioli, Andrea, et Roberta Fulci. « A New Proof of the Existence of Free Lie Algebras and an Application ». ISRN Algebra 2011 (7 mars 2011) : 1–11. http://dx.doi.org/10.5402/2011/247403.

Texte intégral
Résumé :
The existence of free Lie algebras is usually derived as a consequence of the Poincaré-Birkhoff-Witt theorem. Moreover, in order to prove that (given a set and a field of characteristic zero) the Lie algebra of the Lie polynomials in the letters of (over the field ) is a free Lie algebra generated by , all available proofs use the embedding of a Lie algebra into its enveloping algebra . The aim of this paper is to give a much simpler proof of the latter fact without the aid of the cited embedding nor of the Poincaré-Birkhoff-Witt theorem. As an application of our result and of a theorem due to Cartier (1956), we show the relationships existing between the theorem of Poincaré-Birkhoff-Witt, the theorem of Campbell-Baker-Hausdorff, and the existence of free Lie algebras.
Styles APA, Harvard, Vancouver, ISO, etc.
2

Michaelis, Walter. « The Dual Poincaré-Birkhoff-Witt Theorem ». Advances in Mathematics 57, no 2 (août 1985) : 93–162. http://dx.doi.org/10.1016/0001-8708(85)90051-9.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
3

Berger, Roland. « The quantum Poincaré-Birkhoff-Witt theorem ». Communications in Mathematical Physics 143, no 2 (janvier 1992) : 215–34. http://dx.doi.org/10.1007/bf02099007.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
4

Le Calvez, Patrice, et Jian Wang. « Some remarks on the Poincaré-Birkhoff theorem ». Proceedings of the American Mathematical Society 138, no 02 (7 octobre 2009) : 703–15. http://dx.doi.org/10.1090/s0002-9939-09-10105-3.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
5

Winkelnkemper, H. E. « A generalization of the Poincaré-Birkhoff theorem ». Proceedings of the American Mathematical Society 102, no 4 (1 avril 1988) : 1028. http://dx.doi.org/10.1090/s0002-9939-1988-0934887-5.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
6

Kirillov, Alexander, et Victor Starkov. « Some extensions of the Poincaré–Birkhoff theorem ». Journal of Fixed Point Theory and Applications 13, no 2 (juin 2013) : 611–25. http://dx.doi.org/10.1007/s11784-013-0127-2.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
7

Margheri, Alessandro, Carlota Rebelo et Fabio Zanolin. « Fixed points for planar maps with multiple twists, with application to nonlinear equations with indefinite weight ». Philosophical Transactions of the Royal Society A : Mathematical, Physical and Engineering Sciences 379, no 2191 (4 janvier 2021) : 20190385. http://dx.doi.org/10.1098/rsta.2019.0385.

Texte intégral
Résumé :
In this paper, we investigate the dynamical properties associated with planar maps which can be represented as a composition of twist maps together with expansive–contractive homeomorphisms. The class of maps we consider present some common features both with those arising in the context of the Poincaré–Birkhoff theorem and those studied in the theory of topological horseshoes. In our main theorems, we show that the multiplicity results of fixed points and periodic points typical of the Poincaré–Birkhoff theorem can be recovered and improved in our setting. In particular, we can avoid assuming area-preserving conditions and we also obtain higher multiplicity results in the case of multiple twists. Applications are given to periodic solutions for planar systems of non-autonomous ODEs with sign-indefinite weights, including the non-Hamiltonian case. The presence of complex dynamics is also discussed. This article is part of the theme issue ‘Topological degree and fixed point theories in differential and difference equations’.
Styles APA, Harvard, Vancouver, ISO, etc.
8

Franks, John. « Erratum to “Generalizations of the Poincaré–Birkhoff theorem” ». Annals of Mathematics 164, no 3 (1 novembre 2006) : 1097–98. http://dx.doi.org/10.4007/annals.2006.164.1097.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
9

Makar-Limanov, L. « A Version of the Poincaré-Birkhoff-Witt Theorem ». Bulletin of the London Mathematical Society 26, no 3 (mai 1994) : 273–76. http://dx.doi.org/10.1112/blms/26.3.273.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
10

Li, Yong, et Zheng Hua Lin. « A constructive proof of the Poincaré-Birkhoff theorem ». Transactions of the American Mathematical Society 347, no 6 (1 juin 1995) : 2111–26. http://dx.doi.org/10.1090/s0002-9947-1995-1290734-4.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
11

Casas, José Manuel, Manuel A. Insua et Manuel Ladra. « Poincaré–Birkhoff–Witt theorem for Leibniz n-algebras ». Journal of Symbolic Computation 42, no 11-12 (novembre 2007) : 1052–65. http://dx.doi.org/10.1016/j.jsc.2007.05.003.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
12

Zanini, Chiara. « Rotation numbers, eigenvalues, and the Poincaré–Birkhoff theorem ». Journal of Mathematical Analysis and Applications 279, no 1 (mars 2003) : 290–307. http://dx.doi.org/10.1016/s0022-247x(03)00012-x.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
13

BARGE, MARCY, et THOR MATISON. « A Poincaré–Birkhoff theorem on invariant plane continua ». Ergodic Theory and Dynamical Systems 18, no 1 (février 1998) : 41–52. http://dx.doi.org/10.1017/s0143385798097569.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
14

Zhang, Zerui, Yuqun Chen et Leonid A. Bokut. « Free Gelfand–Dorfman–Novikov superalgebras and a Poincaré–Birkhoff–Witt type theorem ». International Journal of Algebra and Computation 29, no 03 (mai 2019) : 481–505. http://dx.doi.org/10.1142/s0218196719500115.

Texte intégral
Résumé :
We construct linear bases of free Gelfand–Dorfman–Novikov (GDN) superalgebras. As applications, we prove a Poincaré–Birkhoff–Witt (PBW) type theorem, that is, every GDN superalgebra can be embedded into its universal enveloping associative differential supercommuative algebra. An Engel theorem is given.
Styles APA, Harvard, Vancouver, ISO, etc.
15

Oh, Sei-Qwon, Chun-Gil Park et Yong-Yeon Shin. « A POINCARÉ-BIRKHOFF-WITT THEOREM FOR POISSON ENVELOPING ALGEBRAS ». Communications in Algebra 30, no 10 (12 janvier 2002) : 4867–87. http://dx.doi.org/10.1081/agb-120014673.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
16

Lambre, Thierry, Cyrille Ospel et Pol Vanhaecke. « Poisson enveloping algebras and the Poincaré–Birkhoff–Witt theorem ». Journal of Algebra 485 (septembre 2017) : 166–98. http://dx.doi.org/10.1016/j.jalgebra.2017.05.001.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
17

Fonda, Alessandro, et Antonio J. Ureña. « A higher dimensional Poincaré–Birkhoff theorem for Hamiltonian flows ». Annales de l'Institut Henri Poincaré C, Analyse non linéaire 34, no 3 (mai 2017) : 679–98. http://dx.doi.org/10.1016/j.anihpc.2016.04.002.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
18

Eastwood, Michael. « A geometric proof of the Poincaré-Birkhoff-Witt Theorem ». São Paulo Journal of Mathematical Sciences 12, no 2 (1 août 2018) : 246–51. http://dx.doi.org/10.1007/s40863-018-0095-y.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
19

Fonda, Alessandro, et Antonio J. Ureña. « A higher-dimensional Poincaré–Birkhoff theorem without monotone twist ». Comptes Rendus Mathematique 354, no 5 (mai 2016) : 475–79. http://dx.doi.org/10.1016/j.crma.2016.01.023.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
20

Fonda, Alessandro, et Paolo Gidoni. « An avoiding cones condition for the Poincaré–Birkhoff Theorem ». Journal of Differential Equations 262, no 2 (janvier 2017) : 1064–84. http://dx.doi.org/10.1016/j.jde.2016.10.002.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
21

Qian, Dingbian, et Pedro J. Torres. « Bouncing solutions of an equation with attractive singularity ». Proceedings of the Royal Society of Edinburgh : Section A Mathematics 134, no 1 (février 2004) : 201–13. http://dx.doi.org/10.1017/s0308210500003164.

Texte intégral
Résumé :
For any n, m ∈ N, we prove the existence of 2mπ-periodic solutions, with n bouncings in each period, for a second-order forced equation with attractive singularity by using the approach of successor map and Poincaré-Birkhoff twist theorem.
Styles APA, Harvard, Vancouver, ISO, etc.
22

ANDRADE, L. C. GARCIA DE. « ON TIME DISLOCATION SOLUTION OF EINSTEIN FIELD EQUATIONS ». Modern Physics Letters A 14, no 02 (20 janvier 1999) : 93–97. http://dx.doi.org/10.1142/s0217732399000122.

Texte intégral
Résumé :
The theory considered here is not Einstein general relativity, but is a Poincaré type gauge theory of gravity, therefore the Birkhoff theorem is not applied and the external solution is not vacuum spherically symmetric and tachyons may exist outside the core defect.
Styles APA, Harvard, Vancouver, ISO, etc.
23

Ma, Tiantian, et Zaihong Wang. « Infinitely Many Periodic Solutions of Duffing Equations with Singularities via Time Map ». Abstract and Applied Analysis 2014 (2014) : 1–8. http://dx.doi.org/10.1155/2014/398512.

Texte intégral
Résumé :
We study the periodic solutions of Duffing equations with singularitiesx′′+g(x)=p(t). By using Poincaré-Birkhoff twist theorem, we prove that the given equation possesses infinitely many positive periodic solutions provided thatgsatisfies the singular condition and the time map related to autonomous systemx′′+g(x)=0tends to zero.
Styles APA, Harvard, Vancouver, ISO, etc.
24

Bautista, César. « A Poincaré–Birkhoff–Witt theorem for generalized Lie color algebras ». Journal of Mathematical Physics 39, no 7 (juillet 1998) : 3828–43. http://dx.doi.org/10.1063/1.532471.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
25

Fonda, Alessandro, et Antonio J. Ureña. « A Poincaré–Birkhoff theorem for Hamiltonian flows on nonconvex domains ». Journal de Mathématiques Pures et Appliquées 129 (septembre 2019) : 131–52. http://dx.doi.org/10.1016/j.matpur.2018.12.007.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
26

OMORI, Hideki, Yoshiaki MAEDA et Akira YOSHIOKA. « A Poincaré-Birkhoff-Witt theorem for infinite dimensional Lie algebras ». Journal of the Mathematical Society of Japan 46, no 1 (janvier 1994) : 25–50. http://dx.doi.org/10.2969/jmsj/04610025.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
27

Braverman, Alexander, et Dennis Gaitsgory. « Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type ». Journal of Algebra 181, no 2 (avril 1996) : 315–28. http://dx.doi.org/10.1006/jabr.1996.0122.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
28

Song, Chunmei, Qihuai Liu et Guirong Jiang. « Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity ». AIMS Mathematics 6, no 11 (2021) : 12913–28. http://dx.doi.org/10.3934/math.2021747.

Texte intégral
Résumé :
<abstract><p>In this paper, we prove the existence of harmonic solutions and infinitely many subharmonic solutions of dissipative second order sublinear differential equations named quadratic Liénard type systems. The method of the proof is based on the Poincaré-Birkhoff twist theorem.</p></abstract>
Styles APA, Harvard, Vancouver, ISO, etc.
29

Yang, Xuxin, Weibing Wang et Jianhua Shen. « Existence of Periodic Solutions for the Duffing Equation with Impulses ». Mathematical Problems in Engineering 2012 (2012) : 1–13. http://dx.doi.org/10.1155/2012/903653.

Texte intégral
Résumé :
We study the existence of solutions to the Duffing equation with impulses. By means of the Poincaré-Birkhoff fixed point theorem under given conditions, we obtain the sufficient condition of existence of infinitely many solutions. Our results generalize those of T. R. Ding. An example is presented to demonstrate applications of our main result.
Styles APA, Harvard, Vancouver, ISO, etc.
30

Pascoletti, Anna, et Fabio Zanolin. « A Topological Approach to Bend-Twist Maps with Applications ». International Journal of Differential Equations 2011 (2011) : 1–20. http://dx.doi.org/10.1155/2011/612041.

Texte intégral
Résumé :
In this paper we reconsider, in a purely topological framework, the concept of bend-twist map previously studied in the analytic setting by Tongren Ding in (2007). We obtain some results about the existence and multiplicity of fixed points which are related to the classical Poincaré-Birkhoff twist theorem for area-preserving maps of the annulus; however, in our approach, like in Ding (2007), we do not require measure-preserving conditions. This makes our theorems in principle applicable to nonconservative planar systems. Some of our results are also stable for small perturbations. Possible applications of the fixed point theorems for topological bend-twist maps are outlined in the last section.
Styles APA, Harvard, Vancouver, ISO, etc.
31

Reyes, Armando, et Jason Hernández-Mogollón. « A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial Type ». Ingeniería y Ciencia 16, no 31 (19 juin 2020) : 27–52. http://dx.doi.org/10.17230/ingciencia.16.31.2.

Texte intégral
Résumé :
In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of this theorem for the skew Poincaré-Birkhoff-Witt extensions. Once this is done, we illustrate the Nullstellensatz with examples appearing in noncommutative ring theory and non-commutative algebraic geometry.
Styles APA, Harvard, Vancouver, ISO, etc.
32

Shepler, Anne V., et Sarah Witherspoon. « A Poincaré-Birkhoff-Witt theorem for quadratic algebras with group actions ». Transactions of the American Mathematical Society 366, no 12 (21 juillet 2014) : 6483–506. http://dx.doi.org/10.1090/s0002-9947-2014-06118-7.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
33

Campos, J., A. Margheri, R. Martins et C. Rebelo. « A note on a modified version of the Poincaré–Birkhoff theorem ». Journal of Differential Equations 203, no 1 (août 2004) : 55–63. http://dx.doi.org/10.1016/j.jde.2004.03.022.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
34

Kolesnikov, P. S. « Gröbner–Shirshov Bases for Replicated Algebras ». Algebra Colloquium 24, no 04 (15 novembre 2017) : 563–76. http://dx.doi.org/10.1142/s1005386717000372.

Texte intégral
Résumé :
We establish a universal approach to solutions of the word problem in the varieties of di- and tri-algebras. This approach, for example, allows us to apply Gröbner–Shirshov bases method for Lie algebras to solve the ideal membership problem in free Leibniz algebras (Lie di-algebras). As another application, we prove an analogue of the Poincaré–Birkhoff–Witt Theorem for universal enveloping associative tri-algebra of a Lie tri-algebra (CTD!-algebra).
Styles APA, Harvard, Vancouver, ISO, etc.
35

Kirillov, Alexander. « An extension of the Poincaré-Birkhoff fixed point theorem to noninvariant annuli ». Fixed Point Theory 22, no 1 (1 février 2021) : 251–62. http://dx.doi.org/10.24193/fpt-ro.2021.1.18.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
36

López-Gómez, Julián, Eduardo Muñoz-Hernández et Fabio Zanolin. « The Poincaré–Birkhoff Theorem for a Class of Degenerate Planar Hamiltonian Systems ». Advanced Nonlinear Studies 21, no 3 (17 juillet 2021) : 489–99. http://dx.doi.org/10.1515/ans-2021-2137.

Texte intégral
Résumé :
Abstract In this paper, we investigate the problem of the existence and multiplicity of periodic solutions to the planar Hamiltonian system x ′ = - λ ⁢ α ⁢ ( t ) ⁢ f ⁢ ( y ) x^{\prime}=-\lambda\alpha(t)f(y) , y ′ = λ ⁢ β ⁢ ( t ) ⁢ g ⁢ ( x ) y^{\prime}=\lambda\beta(t)g(x) , where α , β \alpha,\beta are non-negative 𝑇-periodic coefficients and λ > 0 \lambda>0 . We focus our study to the so-called “degenerate” situation, namely when the set Z := supp ⁡ α ∩ supp ⁡ β Z:=\operatorname{supp}\alpha\cap\operatorname{supp}\beta has Lebesgue measure zero. It is known that, in this case, for some choices of 𝛼 and 𝛽, no nontrivial 𝑇-periodic solution exists. On the opposite, we show that, depending of some geometric configurations of 𝛼 and 𝛽, the existence of a large number of 𝑇-periodic solutions (as well as subharmonic solutions) is guaranteed (for λ > 0 \lambda>0 and large). Our proof is based on the Poincaré–Birkhoff twist theorem. Applications are given to Volterra’s predator-prey model with seasonal effects.
Styles APA, Harvard, Vancouver, ISO, etc.
37

Yamane, Hiroyuki. « A Poincaré-Birkhoff-Witt theorem for the quantum group of type $A_N$ ». Proceedings of the Japan Academy, Series A, Mathematical Sciences 64, no 10 (1988) : 385–86. http://dx.doi.org/10.3792/pjaa.64.385.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
38

Martins, Rogério, et Antonio J. Ureña. « The star-shaped condition on Ding's version of the Poincaré-Birkhoff theorem ». Bulletin of the London Mathematical Society 39, no 5 (23 août 2007) : 803–10. http://dx.doi.org/10.1112/blms/bdm064.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
39

Jiang, Fangfang, Jianhua Shen et Yanting Zeng. « Applications of the Poincaré–Birkhoff theorem to impulsive Duffing equations at resonance ». Nonlinear Analysis : Real World Applications 13, no 3 (juin 2012) : 1292–305. http://dx.doi.org/10.1016/j.nonrwa.2011.10.006.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
40

Fel’shtyn, Alexander. « Nielsen theory, Floer homology and a generalisation of the Poincaré-Birkhoff theorem ». Journal of Fixed Point Theory and Applications 3, no 2 (14 août 2008) : 191–214. http://dx.doi.org/10.1007/s11784-008-0085-2.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
41

Bonino, Marc. « A topological version of the Poincaré-Birkhoff theorem with two fixed points ». Mathematische Annalen 352, no 4 (22 avril 2011) : 1013–28. http://dx.doi.org/10.1007/s00208-011-0669-9.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
42

Fonda, Alessandro, et Rodica Toader. « Subharmonic solutions of Hamiltonian systems displaying some kind of sublinear growth ». Advances in Nonlinear Analysis 8, no 1 (28 juillet 2017) : 583–602. http://dx.doi.org/10.1515/anona-2017-0040.

Texte intégral
Résumé :
Abstract We prove the existence and multiplicity of subharmonic solutions for Hamiltonian systems obtained as perturbations of N planar uncoupled systems which, e.g., model some type of asymmetric oscillators. The nonlinearities are assumed to satisfy Landesman–Lazer conditions at the zero eigenvalue, and to have some kind of sublinear behavior at infinity. The proof is carried out by the use of a generalized version of the Poincaré–Birkhoff Theorem. Different situations, including Lotka–Volterra systems, or systems with singularities, are also illustrated.
Styles APA, Harvard, Vancouver, ISO, etc.
43

CHAPOTON, FRÉDÉRIC, et FRÉDÉRIC PATRAS. « ENVELOPING ALGEBRAS OF PRELIE ALGEBRAS, SOLOMON IDEMPOTENTS AND THE MAGNUS FORMULA ». International Journal of Algebra and Computation 23, no 04 (juin 2013) : 853–61. http://dx.doi.org/10.1142/s0218196713400134.

Texte intégral
Résumé :
We study the internal structure of enveloping algebras of preLie algebras. We show in particular that the canonical projections arising from the Poincaré–Birkhoff–Witt theorem can be computed explicitly. They happen to be closely related to the Magnus formula for matrix differential equations. Indeed, we show that the Magnus formula provides a way to compute the canonical projection on the preLie algebra. Conversely, our results provide new insights on classical problems in the theory of differential equations and on recent advances in their combinatorial understanding.
Styles APA, Harvard, Vancouver, ISO, etc.
44

YAN, PING, et MEIRONG ZHANG. « ROTATION NUMBER, PERIODIC FUČIK SPECTRUM AND MULTIPLE PERIODIC SOLUTIONS ». Communications in Contemporary Mathematics 12, no 03 (juin 2010) : 437–55. http://dx.doi.org/10.1142/s0219199710003877.

Texte intégral
Résumé :
In this paper, we will introduce the rotation number for the one-dimensional asymmetric p-Laplacian with a pair of periodic potentials. Two applications of this notion will be given. One is a clear characterization of two unbounded sequences of Fučik curves of the periodic Fučik spectrum of the p-Laplacian with potentials. With the help of the Poincaré–Birkhoff fixed point theorem, the other application is some existence result of multiple periodic solutions of nonlinear ordinary differential equations concerning with the p-Laplacian.
Styles APA, Harvard, Vancouver, ISO, etc.
45

Hryniewicz, Umberto, Al Momin et Pedro A. S. Salomão. « A Poincaré–Birkhoff theorem for tight Reeb flows on $$S^3$$ S 3 ». Inventiones mathematicae 199, no 2 (1 avril 2014) : 333–422. http://dx.doi.org/10.1007/s00222-014-0515-2.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
46

Segal, D. « Free Left-Symmetrical Algebras and an Analogue of the Poincaré-Birkhoff-Witt Theorem ». Journal of Algebra 164, no 3 (mars 1994) : 750–72. http://dx.doi.org/10.1006/jabr.1994.1088.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
47

Lezama, Oswaldo, et Edward Latorre. « Non-commutative algebraic geometry of semi-graded rings ». International Journal of Algebra and Computation 27, no 04 (26 mai 2017) : 361–89. http://dx.doi.org/10.1142/s0218196717500199.

Texte intégral
Résumé :
In this paper, we introduce the semi-graded rings, which extend graded rings and skew Poincaré–Birkhoff–Witt (PBW) extensions. For this new type of non-commutative rings, we will discuss some basic problems of non-commutative algebraic geometry. In particular, we will prove some elementary properties of the generalized Hilbert series, Hilbert polynomial and Gelfand–Kirillov dimension. We will extend the notion of non-commutative projective scheme to the case of semi-graded rings and we generalize the Serre–Artin–Zhang–Verevkin theorem. Some examples are included at the end of the paper.
Styles APA, Harvard, Vancouver, ISO, etc.
48

ARDIZZONI, ALESSANDRO. « UNIVERSAL ENVELOPING ALGEBRAS OF PBW TYPE ». Glasgow Mathematical Journal 54, no 1 (2 août 2011) : 9–26. http://dx.doi.org/10.1017/s0017089511000310.

Texte intégral
Résumé :
AbstractWe continue our investigation of the general notion of universal enveloping algebra introduced in [A. Ardizzoni, A Milnor–Moore type theorem for primitively generated braided Bialgebras, J. Algebra 327(1) (2011), 337–365]. Namely, we study a universal enveloping algebra when it is of Poincaré–Birkhoff–Witt (PBW) type, meaning that a suitable PBW-type theorem holds. We discuss the problem of finding a basis for a universal enveloping algebra of PBW type: as an application, we recover the PBW basis both of an ordinary universal enveloping algebra and of a restricted enveloping algebra. We prove that a universal enveloping algebra is of PBW type if and only if it is cosymmetric. We characterise braided bialgebra liftings of Nichols algebras as universal enveloping algebras of PBW type.
Styles APA, Harvard, Vancouver, ISO, etc.
49

Hausrath, Alan R., et Raúl F. Manasevich. « Periodic solutions of a periodically perturbed Lotka-Volterra equation using the Poincaré-Birkhoff Theorem ». Journal of Mathematical Analysis and Applications 157, no 1 (mai 1991) : 1–9. http://dx.doi.org/10.1016/0022-247x(91)90132-j.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
50

Margheri, A., C. Rebelo et F. Zanolin. « Maslov index, Poincaré–Birkhoff Theorem and Periodic Solutions of Asymptotically Linear Planar Hamiltonian Systems ». Journal of Differential Equations 183, no 2 (août 2002) : 342–67. http://dx.doi.org/10.1006/jdeq.2001.4122.

Texte intégral
Styles APA, Harvard, Vancouver, ISO, etc.
Nous offrons des réductions sur tous les plans premium pour les auteurs dont les œuvres sont incluses dans des sélections littéraires thématiques. Contactez-nous pour obtenir un code promo unique!

Vers la bibliographie