ℤ2-Codimensions of the Grassmann Algebra

DOI10.1080/00927870802502829zbMath1192.16021OpenAlexW2158561846MaRDI QIDQ3644359

Viviane Ribeiro Tomaz da Silva

Publication date: 4 November 2009

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870802502829

zbMATH Keywords

automorphismspolynomial identitiescodimension sequencesGrassmann algebragraded codimensions

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Other kinds of identities (generalized polynomial, rational, involution) (16R50) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (8)

\(\mathbb{Z}\)-gradings of full support on the Grassmann algebra ⋮ \(\mathbb{Z}\)-graded polynomial identities of the Grassmann algebra ⋮ Unnamed Item ⋮ On ℤ_p-graded identities and cocharacters of the Grassmann algebra ⋮ ℤ2-graded identities of the Grassmann algebra over a finite field ⋮ On \(\mathbb Z_2\)-graded identities of the super tensor product of \(UT_2(F)\) by the Grassmann algebra. ⋮ \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. ⋮ On \(\mathbb Z_2\)-graded polynomial identities of the Grassmann algebra.

Cites Work

• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• Z_P-CODIMENSIONS OF Z_P-IDENTITIES OF GRASSMANN ALGEBRA

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