A note on -gradings on the Grassmann algebra and elementary number theory

DOI10.1080/03081087.2022.2059433zbMath1526.16020arXiv2110.06377WikidataQ114100566 ScholiaQ114100566MaRDI QIDQ6044834

Claudemir Fidelis, Alan de Araújo Guimarães, Plamen Koshlukov

Publication date: 22 May 2023

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

Full work available at URL: https://arxiv.org/abs/2110.06377

zbMATH Keywords

graded algebraGrassmann algebragraded identityfull support

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05) Exterior algebra, Grassmann algebras (15A75)

Related Items (1)

ℤ-gradings on the Grassmann algebra over infinite fields: Graded identities and central polynomials

Cites Work

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• \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic.
• On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.
• \(\mathbb{Z}\)-gradings of full support on the Grassmann algebra
• \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra
• \(\mathbb{Z}\)-graded polynomial identities of the 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
• ℤ2-graded identities of the Grassmann algebra over a finite field
• -graded identities of the Lie algebras in characteristic 2
• On the support of (R,+)-gradings on the Grassmann algebra

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