A characterization of the natural grading of the Grassmann algebra and its non-homogeneous \(\mathbb{Z}_2\)-gradings

DOI10.1016/J.LAA.2023.10.002zbMath1527.15029MaRDI QIDQ6087862

Alexander N. Grishkov, Ana Beatriz Gomes, Alan de Araújo Guimarães, Claudemir Fideles

Publication date: 16 November 2023

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

zbMATH Keywords

superalgebraspolynomial identitiesGrassmann algebra

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Exterior algebra, Grassmann algebras (15A75) ``Super (or ``skew) structure (16W55)

Cites Work

• Remarks on the prime varieties
• \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic.
• On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.
• The standard identity in characteristic \(p\): A conjecture of I. B. Volichenko
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• The $G$-graded identities of the Grassmann Algebra
• On ℤ_p-graded identities and cocharacters of the Grassmann algebra
• Group Actions and Asymptotic Behavior of Graded Polynomial Identities
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Identities of associative algebras
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