Tensor product theorems in positive characteristic.

DOI10.1016/J.JALGEBRA.2004.01.004zbMath1065.16017OpenAlexW2095292157MaRDI QIDQ1886836

Marcello Fidelis, Sérgio S. de Azevedo, Plamen Koshlukov

Publication date: 19 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.01.004

zbMATH Keywords

tensor productspolynomial identitiesgraded identitiesvarieties of algebrasT-prime T-ideals

Mathematics Subject Classification ID

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 (15)

Graded identities for algebras with elementary gradings over an infinite field ⋮ Polynomial identities of algebras in positive characteristic. ⋮ Central polynomials for \(\mathbb{Z}_2\)-graded algebras and for algebras with involution. ⋮ PI non-equivalence in positive characteristic. ⋮ Unnamed Item ⋮ On the polynomial identities of the algebra \(M_{11}(E)\). ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra ⋮ Weak polynomial identities and their applications ⋮ The Gelfand-Kirillov dimension of the universal algebras of \(M_{a,b}(E)\otimes E\) in positive characteristic. ⋮ 2-Graded identities for the tensor square of the Grassmann algebra ⋮ GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ Polynomial identities for graded tensor products of algebras. ⋮ Graded identities of several tensor products of the Grassmann algebra ⋮ PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic. ⋮ Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra

Cites Work

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• Graded identities for T-prime algebras over fields of positive characteristic
• Identities of the tensor square of a Grassmann algebra
• A minimal basis of identities for a second-order matrix algebra over a field of characteristic 0
• Central polynomials in the matrix algebra of order two.
• On the graded identities of \(M_{1,1}(E)\)
• Tensor products of matrix algebras over the Grassmann algebra
• Finite basing of the identities of a matrix algebra of second order over a field of characteristic zero
• \(\mathbb{Z}_{k+l}\times\mathbb{Z}_2\)-graded polynomial identities for \(M_{k,l}(E)\otimes E\).
• Grassmann algebras over finite fields
• Identities of associative algebras
• Generic verbally prime pi-algebras and their gk-dimensions
• The Polynomial Identities of the Grassman Algebra
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra
• Basis of the identities of the matrix algebra of order two over a field of characteristic \(p\neq 2\)

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