The Specht property of \(L\)-varieties of vector spaces over an arbitrary field

DOI10.1007/s10469-018-9508-3zbMath1442.17002OpenAlexW2902661064MaRDI QIDQ1731321

Xianqiang Yang

Publication date: 13 March 2019

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-018-9508-3

zbMATH Keywords

basis of identities\(L\)-varietyidentity of vector spaceSpechtian \(L\)-variety

Mathematics Subject Classification ID

Equational logic, Mal'tsev conditions (08B05) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50)

Related Items (1)

Weak polynomial identities and their applications

Cites Work

• Almost commutative varieties of associative rings
• Properties of the join of varieties of algebras
• 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
• The identities of vector spaces embedded in a linear algebra
• Gesetze in Ringen. I

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