The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field

DOI10.1080/00927871003598699zbMath1226.16016arXiv0905.2385OpenAlexW2964254577MaRDI QIDQ3015070

Publication date: 8 July 2011

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

Full work available at URL: https://arxiv.org/abs/0905.2385

zbMATH Keywords

finite fields polynomial identities T-spaces central polynomials infinite-dimensional Grassmann algebras

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (8)

The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ ℤ2 and ℤ-graded central polynomials of the Grassmann algebra ⋮ \(\mathbb{Z}_q\)-graded identities and central polynomials of the Grassmann algebra ⋮ ℤ2-graded identities of the 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. ⋮ The Identities and Central Polynomials of the Finite Dimensional Unitary Grassmann Algebras Over a Finite Field ⋮ Graded A-identities for M_1,1 (E)

Cites Work

This page was built for publication: The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field