The finite basis property ofT-spaces over fields of characteristic zero

DOI10.1070/IM2001v065n05ABEH000362zbMath1026.16008OpenAlexW2089181077MaRDI QIDQ4804420

V. V. Shchigolev

Publication date: 28 September 2003

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2001v065n05abeh000362

zbMATH Keywords

T-idealspolynomial identitiesT-spacesSpecht problemfinite bases of identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (13)

On the structure of a relatively free Grassmann algebra. ⋮ Hilbert series of \(T\)-spaces ⋮ Limit T-subalgebras in free associative algebras. ⋮ Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra. ⋮ Representability and Specht problem for \(G\)-graded algebras. ⋮ On T-spaces and related concepts and results. ⋮ Theorems on equalization and monomiality in a relatively free Grassmann algebra. ⋮ T-spaces in associative algebras. ⋮ The subalgebra of graded central polynomials of an associative algebra. ⋮ Examples of associative algebras for which the T-space of central polynomials is not finitely based. ⋮ T-spaces and their applications. ⋮ Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices ⋮ On the stabilization problem for submodules of Specht modules

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