THE CENTRAL POLYNOMIALS OF THE INFINITE-DIMENSIONAL UNITARY AND NONUNITARY GRASSMANN ALGEBRAS

DOI10.1142/S0219498810004075zbMath1210.16024arXiv0905.1049OpenAlexW3094300156MaRDI QIDQ3056453

C. Bekh-Ochir, Stuart A. Rankin

Publication date: 12 November 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.1049

zbMATH Keywords

T-idealspolynomial identitiesT-spacescentral polynomialsinfinite-dimensional Grassmann algebrasnonunitary Grassmann algebrasunitary Grassmann algebras

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75)

Related Items (8)

Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra. ⋮ ℤ2 and ℤ-graded central polynomials of the Grassmann algebra ⋮ \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra ⋮ The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field ⋮ The subalgebra of graded central polynomials of an associative algebra. ⋮ Examples of associative algebras for which the T-space of central polynomials is not finitely based. ⋮ Central polynomials with involution for the algebra of 2 × 2 upper triangular matrices ⋮ The Identities and Central Polynomials of the Finite Dimensional Unitary Grassmann Algebras Over a Finite Field

Cites Work

• Unnamed Item
• Varieties of associative algebras whose lattice of subvarieties is distributive
• Central polynomials for matrix rings
• ON THE GRASSMANN T-SPACE
• On the identities of the Grassmann algebras in characteristic \(p>0\)

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