Grassmann algebras over finite fields

DOI10.1080/00927879108824231zbMath0733.16008OpenAlexW2069062930MaRDI QIDQ3360342

Amitai Regev

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1080/00927879108824231

zbMATH Keywords

polynomial identitiesfree ringinfinitely generated Grassmann algebra

Mathematics Subject Classification ID

Exterior algebra, Grassmann algebras (15A75) Identities other than those of matrices over commutative rings (16R40)

Related Items (23)

Köthe's problem, Kurosh-Levitzky problem and graded rings ⋮ Tensor product theorems in positive characteristic. ⋮ Polynomial identities of algebras in positive characteristic. ⋮ The mathematics of Amitai Regev ⋮ PI non-equivalence in positive characteristic. ⋮ \(\mathbb{Z}\)-graded polynomial identities of the Grassmann algebra ⋮ The central polynomials for the Grassmann algebra. ⋮ Unnamed Item ⋮ Limit T-subalgebras in free associative algebras. ⋮ Identities and central polynomials with involution for the Grassmann algebra ⋮ The isomorphism problem in the context of PI-theory for two-dimensional Jordan algebras ⋮ Limit T-subspaces and the central polynomials in \(n\) variables of the Grassmann algebra. ⋮ ℤ2-graded identities of the Grassmann algebra over a finite field ⋮ The Identities and the Central Polynomials of the Infinite Dimensional Unitary Grassmann Algebra Over a Finite Field ⋮ The Gelfand-Kirillov dimension of the universal algebras of \(M_{a,b}(E)\otimes E\) in positive characteristic. ⋮ ℤ₂-Graded Gelfand–Kirillov dimension of the Grassmann algebra ⋮ On the identities of the Grassmann algebras in characteristic \(p>0\) ⋮ Graded identities for T-prime algebras over fields of positive characteristic ⋮ On \(\mathbb Z_2\)-graded identities of \(UT_2(E)\) and their growth. ⋮ \(\mathbb Z_2\)-graded identities of the Grassmann algebra in positive characteristic. ⋮ GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ The Identities and Central Polynomials of the Finite Dimensional Unitary Grassmann Algebras Over a Finite Field ⋮ PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic.

Cites Work

• Applications of hook Young diagrams to P.I. algebras
• Homogeneous polynomial identities
• On a question concerning generic matrices over the integers
• The Poincaré series of the ring of 2x2 generic matrices
• Remarks on P. I. algebras over finite fields
• Colength sequence of some T-ideals
• Unnamed Item
• Unnamed Item

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