A characterization of algebras with polynomial growth of the codimensions

DOI10.1090/S0002-9939-00-05523-4zbMath0962.16018OpenAlexW1905916022MaRDI QIDQ4510048

Antonio Giambruno, Mikhail V. Zaicev

Publication date: 19 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05523-4

zbMATH Keywords

finite dimensional algebrasalgebras with involutionsmultilinear identitiescodimension growthPI-algebrascocharacter seriesWedderburn-Malcev decompositions

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items

ALGEBRAS WITH INVOLUTION WHOSE EXPONENT OF THE *-CODIMENSIONS IS EQUAL TO TWO, On the asymptotics of Capelli polynomials, Algebras with involution with linear codimension growth., Minimal varieties of associative PI (super)-algebras with respect to their (graded) exponent, Differential identities and polynomial growth of the codimensions, Varieties of group graded algebras with graded involution of almost polynomial growth, On some minimal supervarieties of exponential growth., Minimal star-varieties of polynomial growth and bounded colength, A star-variety with almost polynomial growth, Involution codimensions of finite dimensional algebras and exponential growth, Graded cocharacters of minimal subvarieties of supervarieties of almost polynomial growth., A characterization of *-minimal algebras with involution., PI-algebras with slow codimension growth., Characterizations of *-superalgebras of polynomial growth, Identities of *-superalgebras and almost polynomial growth, Polynomial identities on superalgebras: classifying linear growth., Characterizing Varieties of Colength ≤4, Varieties of unitary algebras with small growth of codimensions, Minimal varieties of algebras of exponential growth, Graded algebras with polynomial growth of their codimensions., Asymptotics for Capelli polynomials with involution, Minimal varieties of algebras of exponential growth.

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