ℤ2-graded identities of the Grassmann algebra over a finite field

DOI10.1142/S0218196718500133zbMath1417.16028arXiv1403.0888OpenAlexW2790658923MaRDI QIDQ4634924

Luís Felipe Gonçalves Fonseca

Publication date: 12 April 2018

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.0888

zbMATH Keywords

identitiesfinite fieldsGrassmann algebragraded rings and modules

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Graded rings and modules (associative rings and algebras) (16W50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (4)

A note on -gradings on the Grassmann algebra and elementary number theory ⋮ $\mathbb{Z}$-graded identities on the infinite-dimensional Grassmann algebra and arithmetic tools: revisited ⋮ ℤ2 and ℤ-graded central polynomials of the Grassmann algebra ⋮ \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra

Cites Work

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• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA
• The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field
• Grassmann algebras over finite fields
• ℤ₂-Codimensions of the Grassmann Algebra
• The Polynomial Identities of the Grassman Algebra

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