On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.

DOI10.1016/j.laa.2009.02.005zbMath1225.16009OpenAlexW1984554564MaRDI QIDQ1019631

Viviane Ribeiro Tomaz da Silva, Onofrio Mario di Vincenzo

Publication date: 4 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.02.005

zbMATH Keywords

Grassmann algebrascocharacter sequencescodimensionsgraded polynomial identities

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) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Related Items (29)

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Cites Work

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• Cocharacters of \(\mathbb Z/2\mathbb Z\)-graded algebras
• Colength sequence of some T-ideals
• On the graded identities of \(M_{1,1}(E)\)
• Polynomial identity rings.
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• ℤ₂-Codimensions of the Grassmann Algebra
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Identities of associative algebras
• Cocharacters, Codimensions and Hilbert Series of the Polynomial Identities for 2 × 2 Matrices with Involution
• The Polynomial Identities of the Grassman Algebra
• Subvarieties of the Varieties Generated by the SuperalgebraM_{1, 1}(E) orM₂(𝒦)

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