Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras.

DOI10.3103/S0027132215050101zbMath1336.16019OpenAlexW1901779172MaRDI QIDQ255777

Mikhail V. Zaicev

Publication date: 9 March 2016

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132215050101

zbMATH Keywords

finite-dimensional algebrasgraded algebrasgrowth functionsgraded identitiescodimension sequencescolengths of polynomial identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (4)

Codimension growth of simple Jordan superalgebras ⋮ ℤ2-graded codimensions of unital algebras ⋮ Identities of graded simple algebras ⋮ Codimension growth of solvable Lie superalgebras

Cites Work

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• Graded identities of some simple Lie superalgebras
• Algebras with intermediate growth of the codimensions.
• Applications of hook Young diagrams to P.I. algebras

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