Многообразия линейных алгебр полиномиального роста

DOI10.14498/vsgtu1262zbMath1413.16028OpenAlexW2333023053MaRDI QIDQ4962263

Ol'ga Ivanovna Cherevatenko

Publication date: 30 October 2018

Published in: Вестник Самарского государственного технического университета. Серия «Физико-математические науки» (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vsgtu1262

zbMATH Keywords

Lie algebraassociative algebraPoisson algebravariety of algebrasgrowth of a variety

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Poisson algebras (17B63) Leibniz algebras (17A32) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (1)

О тождествах специального вида в алгебрах Лейбница - Пуассона

Cites Work

• Equivalent conditions of polynomial growth of a variety of Poisson algebras
• Poisson algebras of polynomial growth
• Necessary and sufficient conditions of polynomial growth of varieties of Leibniz-Poisson algebras
• Necessary and sufficient conditions for a variety of Leibniz algebras to have polynomial growth
• Varieties of polynomial growth of Lie algebras over a field of characteristic zero
• A Leibniz variety with almost polynomial growth
• Polynomial growth of the codimensions: a characterization
• Poisson PI algebras
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