Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions

DOI10.1007/s10468-018-9807-3zbMath1436.16026OpenAlexW2806607782WikidataQ129720583 ScholiaQ129720583MaRDI QIDQ2272711

Antonio Ioppolo, Daniela La Mattina, Antonio Giambruno

Publication date: 20 September 2019

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-018-9807-3

zbMATH Keywords

growthinvolutionpolynomial identitysuperinvolution

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (22)

Trace identities on diagonal matrix algebras ⋮ *-Graded Capelli polynomials and their asymptotics ⋮ Capelli identities on algebras with involution or graded involution ⋮ On unitary algebras with graded involution of quadratic growth ⋮ Trace identities and almost polynomial growth ⋮ Varieties of group graded algebras with graded involution of almost polynomial growth ⋮ Graded group actions and generalized \(H\)-actions compatible with gradings ⋮ On multiplicities of cocharacters for algebras with superinvolution ⋮ Codimensions of star-algebras and low exponential growth ⋮ Some characterizations of algebras with involution with polynomial growth of their codimensions ⋮ Superalgebras with superinvolution or graded involution with colengths sequence bounded by 3 ⋮ On the factorability of the ideal of \(\ast\)-graded polynomial identities of minimal varieties of PI \(\ast\)-superalgebras ⋮ Superalgebras with graded involution: classifying minimal varieties of quadratic growth ⋮ Minimal varieties of PI-superalgebras with graded involution ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ Unitary superalgebras with graded involution or superinvolution of polynomial growth ⋮ On PI-algebras with additional structures: rationality of Hilbert series and Specht's problem ⋮ A characterization of superalgebras with pseudoinvolution of exponent 2 ⋮ Some results concerning the multiplicities of cocharacters of superalgebras with graded involution ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths ⋮ Growth of central polynomials of algebras with involution ⋮ Nilpotent superderivations in prime superalgebras

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