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

DOI10.1007/s10469-023-09699-xzbMath1529.16022OpenAlexW4366529417MaRDI QIDQ6160500

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Publication date: 10 May 2023

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

Full work available at URL: https://doi.org/10.1007/s10469-023-09699-x

zbMATH Keywords

\(L\)-varietyidentity of vector spacemultiplicative vector spaceminimal nonzero \(L\)-variety (atom)

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10)

Cites Work

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• Finite-dimensional algebras with infinite bases of identities
• On nonnilpotent almost commutative \(L\)-varieties of vector spaces
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• Essentially infinitely based varieties of algebras
• Identities in vector spaces and examples of finite-dimensional linear algebras having no finite basis of identities

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