Superinvolutions on upper-triangular matrix algebras

DOI10.1016/j.jpaa.2017.08.018zbMath1417.16035OpenAlexW2744042773MaRDI QIDQ1742996

Antonio Ioppolo, Fabrizio Martino

Publication date: 12 April 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2017.08.018

zbMATH Keywords

superinvolutionsupper-triangular matrix algebras

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 (11)

Graded polynomial identities as identities of universal algebras ⋮ Graded linear maps on superalgebras ⋮ The exponent for superalgebras with superinvolution ⋮ On multiplicities of cocharacters for algebras with superinvolution ⋮ Some characterizations of algebras with involution with polynomial growth of their codimensions ⋮ Distinguishing simple algebras by means of polynomial identities ⋮ Superalgebras with involution or superinvolution and almost polynomial growth of the codimensions ⋮ Varieties of algebras with pseudoinvolution and polynomial growth ⋮ Unitary superalgebras with graded involution or superinvolution of polynomial growth ⋮ Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮ Growth of central polynomials of algebras with involution

Cites Work

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• GRADED IDENTITIES FOR THE ALGEBRA OF n×n UPPER TRIANGULAR MATRICES OVER AN INFINITE FIELD
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• Group gradings on associative algebras

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