The identities of vector spaces embedded in a linear algebra

DOI10.17377/SEMI.2015.12.027zbMath1361.17005MaRDI QIDQ2630561

I. M. Isaev, A. V. Kislitsin

Publication date: 28 July 2016

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

Lie algebraslinear algebraassociative algebras\(L\)-varietymultiplicative vector pairidentity of pairstrongly nonfinitely based algebrainherently nonfinitely based algebra

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Nonassociative algebras satisfying other identities (17A30) Free nonassociative algebras (17A50) General theory of nonassociative rings and algebras (17A01)

Related Items (7)

On almost Engel \(L\)-varieties of vector spaces ⋮ Simple finite-dimensional algebras without finite basis of identities ⋮ On nonnilpotent almost commutative \(L\)-varieties of vector spaces ⋮ On simple finite-dimensional algebras with infinite basis of identities ⋮ An example of a central simple commutative finite-dimensional algebra with an infinite basis of identities ⋮ The Specht property of \(L\)-varieties of vector spaces ⋮ The Specht property of \(L\)-varieties of vector spaces over an arbitrary field

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