On nonnilpotent almost commutative \(L\)-varieties of vector spaces

DOI10.1134/S0037446618030084zbMath1428.16023MaRDI QIDQ1673672

Peng Zhang

Publication date: 13 September 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

\(L\)-varietyalmost commutative varietyidentity of a pairmultiplicative vector pairvariety of linear algebras

Mathematics Subject Classification ID

Generalizations of commutativity (associative rings and algebras) (16U80) Conditions on elements (16U99) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (2)

On almost Engel \(L\)-varieties of vector spaces ⋮ Minimal nonzero \(L\)-varieties of vector spaces over the field \(\mathbb{Z}_2\)

Cites Work

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• Finite basis property of identities of associative algebras
• Almost commutative varieties of associative rings
• The Specht property of \(L\)-varieties of vector spaces
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities
• Almost commutative varieties of associative rings and algebras over a finite field.
• The identities of vector spaces embedded in a linear algebra
• Almost Lie nilpotent varieties of associative rings.

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