\(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic.

DOI10.1016/j.laa.2011.06.008zbMath1230.16019OpenAlexW1965195003MaRDI QIDQ716441

Lucio Centrone

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.06.008

zbMATH Keywords

algebras with polynomial identitiesGrassmann algebrasgraded identitiesvarieties of algebrasgradings

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)

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Cites Work

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• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• Grassmann algebras over finite fields
• ℤ₂-Codimensions of the Grassmann Algebra
• 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)
• On the identities of the Grassmann algebras in characteristic \(p>0\)

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