Cocharacters of group graded algebras and multiplicities bounded by one

DOI10.1080/03081087.2017.1369493zbMath1390.16024OpenAlexW2752663276WikidataQ121872834 ScholiaQ121872834MaRDI QIDQ4567778

Antonio Giambruno, Francisco César Polcino Milies, Angela Valenti

Publication date: 20 June 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2017.1369493

zbMATH Keywords

graded algebrapolynomial identitycocharactergraded polynomial

Mathematics Subject Classification ID

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

Related Items (2)

Classifying algebras with graded involutions or superinvolutions with multiplicities of their cocharacter bounded by one ⋮ Varieties of algebras with pseudoinvolution: codimensions, cocharacters and colengths

Cites Work

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• Super-cocharacters, star-cocharacters and multiplicities bounded by one.
• Wreath products and P.I. algebras
• A characterization of P. I. algebras with bounded multiplicities of the cocharacters
• The graded identities of upper triangular matrices of size two
• Graded polynomial identities of matrices
• Gradings on the algebra of upper triangular matrices and their graded identities.
• Group graded algebras and multiplicities bounded by a constant.
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution

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