PI non-equivalence in positive characteristic.

DOI10.1007/S00229-009-0306-ZzbMath1183.16019OpenAlexW2157866434MaRDI QIDQ2655182

Sérgio Mota Alves

Publication date: 22 January 2010

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-009-0306-z

zbMATH Keywords

matrix algebrastensor productsT-idealsGrassmann algebraspolynomial identitiesT-prime algebrasPI equivalent algebrasverbally prime PI algebras

Mathematics Subject Classification ID

(T)-ideals, identities, varieties of associative rings and algebras (16R10) Exterior algebra, Grassmann algebras (15A75) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20) Identities other than those of matrices over commutative rings (16R40)

Related Items (2)

The Gelfand-Kirillov dimension of the universal algebras of \(M_{a,b}(E)\otimes E\) in positive characteristic. ⋮ PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic.

Cites Work

• Graded identities for T-prime algebras over fields of positive characteristic
• Polynomial identities of algebras in positive characteristic.
• PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic.
• On the graded identities of \(M_{1,1}(E)\)
• Tensor products of matrix algebras over the Grassmann algebra
• Tensor product theorems in positive characteristic.
• \(\mathbb{Z}_{k+l}\times\mathbb{Z}_2\)-graded polynomial identities for \(M_{k,l}(E)\otimes E\).
• Grassmann algebras over finite fields
• GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC
• Generic verbally prime pi-algebras and their gk-dimensions
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra

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