Polynomial identities in matrix algebras with pseudoinvolution

DOI10.55730/1300-0098.3238OpenAlexW4285284058MaRDI QIDQ5103896

Antonio Ioppolo

Publication date: 9 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3238

zbMATH Keywords

matrix algebrassuperalgebraspolynomial identitiespseudoinvolutions

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)

Cites Work

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• Involutions for upper triangular matrix algebras.
• Existence of pseudo-superinvolutions of the first kind.
• Representability of reduced free algebras
• Abelian gradings on upper-triangular matrices
• A characterization of superalgebras with pseudoinvolution of exponent 2
• Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths
• Standard basis in the T-ideal formed by polynomial identities of triangular matrices.
• Existence of identities in \(A \otimes B\)
• Graded Involutions on Upper-triangular Matrix Algebras
• Varieties of algebras with pseudoinvolution and polynomial growth
• Representation theory of Jordan superalgebras I
• Minimal Identities for Algebras

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