Almost nilpotent varieties with non-integer exponents do exist

DOI10.3103/S0027132216030062zbMath1439.17001OpenAlexW2500281057MaRDI QIDQ5239619

O. V. Shulezhko

Publication date: 22 October 2019

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/cheb370

zbMATH Keywords

codimensionvarietyidentityalmost nilpotent varietyexponent of variety

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Leibniz algebras (17A32) Free algebras (08B20) General theory of nonassociative rings and algebras (17A01)

Related Items (6)

Almost nilpotent varieties with non-integer exponents do exist ⋮ НОВЫЕ СВОЙСТВА ПОЧТИ НИЛЬПОТЕНТНЫХ МНОГООБРАЗИЙ С ЦЕЛЫМИ ЭКСПОНЕНТАМИ ⋮ Sturmian words and uncountable set of almost nilpotent varieties of quadratic growth ⋮ Infinite periodic words and almost nilpotent varieties ⋮ On Almost Nilpotent Varieties with Integer PI-Exponent ⋮ ON ALMOST NILPOTENT VARIETIES OF ANTICOMMUTATIVE METABELIAN ALGEBRAS

Cites Work

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• On almost nilpotent varieties of subexponential growth
• Identities in Lie algebras. I
• Algebras with intermediate growth of the codimensions.
• An almost nilpotent variety of exponent 2
• Codimensions of algebras and growth functions
• Varieties of linear algebras with colength one
• The nilpotency of Leibniz algebras with Engel condition
• Degrees of irreducible characters of the symmetric group and exponential growth
• VARIETIES OF METABELIAN LEIBNIZ ALGEBRAS

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