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Communications in Algebra Volume 27, 1999 - Issue 5
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Original Articles

Exponents of varieties of lie algebras with a nilpotent commutator subalgebra

S.P. Mishchenko Faculty of Mathematics, Ulyanovsk State University, Lev Tolstoy 42, Ulyanovsk, 432700, Russia E-mail: [email protected] [email protected]
&
V.M. Petrogradsky Faculty of Mathematics, Ulyanovsk State University, Lev Tolstoy 42, Ulyanovsk, 432700, Russia E-mail: [email protected] [email protected]
Pages 2223-2230 | Received 01 May 1997, Published online: 27 Jun 2007

Citations (16)

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Read on this site (1)

S.P. Mischchekno, Amitai Regev & Michail Zaicv. (2000) Integrality of exponents of some abelian-by-nilpotent varieties of lie algebras. Communications in Algebra 28:9, pages 4105-4130.
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Articles from other publishers (15)

Geoffrey Janssens. (2022) Codimension growth of Lie algebras with a generalized action. Proceedings of the American Mathematical Society 150:7, pages 2741-2754.
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M. V. Zaicev & S. P. Mishchenko. (2021) Codimension Sequences and their Asymptotic Behavior. Journal of Mathematical Sciences 257:6, pages 825-833.
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M. V. Zaicev & D. D. Repovš. (2019) Combinatorics on Binary Words and Codimensions of Identities in Left Nilpotent Algebras. Algebra and Logic 58:1, pages 23-35.
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Mikhail Zaicev. (2014) On existence of PI-exponents of codimension growth. Electronic Research Announcements in Mathematical Sciences 21:0, pages 113-119.
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Dušan Repovš & Mikhail Zaicev. (2013) On identities of infinite dimensional Lie superalgebras. Proceedings of the American Mathematical Society 141:12, pages 4139-4153.
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Antonio Giambruno & Mikhail Zaicev. (2013) Non-integrality of the PI-exponent of special Lie algebras. Advances in Applied Mathematics 51:5, pages 619-634.
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Du?an Repov?Mikhail Zaicev. (2012) On the codimension growth of almost nilpotent Lie algebras. Israel Journal of Mathematics 194:1, pages 137-150.
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S. S. Mishchenko. (2012) New example of a variety of lie algebras with fractional exponent. Moscow University Mathematics Bulletin 66:6, pages 264-266.
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M. V. Zaitsev. (2011) Identities of unitary finite-dimensional algebras. Algebra and Logic 50:5, pages 381-404.
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M. V. Zaitsev & S. P. Mishchenko. (2008) Identities for Lie superalgebras with a nilpotent commutator subalgebra. Algebra and Logic 47:5, pages 348-364.
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S. M. Ratseev. (2007) The growth of varieties of Leibniz algebras with nilpotent commutator subalgebra. Mathematical Notes 82:1-2, pages 96-103.
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?????? ?????????? ??????Sergey Mihailovich Ratseev. (2007) ???? ???????????? ?????? ???????? ? ????????????? ???????????The Growth of Varieties of Leibniz Algebras with Nilpotent Commutator Subalgebra. ?????????????? ??????? Matematicheskie Zametki 82:1, pages 108-117.
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Михаил Владимирович Зайцев & Mikhail Vladimirovich Zaicev. (2002) Целочисленность экспонент роста тождеств конечномерных алгебр ЛиIntegrality of exponents of codimension growth of finite-dimensional Lie algebras. Известия Российской академии наук. Серия математическая Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya 66:3, pages 23-48.
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Antonio Giambruno, Amitai Regev & Michail Zaicev. (1999) On the Codimension Growth of Finite-Dimensional Lie Algebras. Journal of Algebra 220:2, pages 466-474.
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?????? ?????????? ?????????????Victor Mikhaylovich Petrogradsky. (1999) ? ????????? ??????????????? ??????????????? ???? ???????????? ?????? ??On numerical characteristics of subvarieties for three varieties of Lie algebras. ?????????????? ??????? Matematicheskii Sbornik 190:6, pages 111-126.
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