Polynomial identities of algebras in positive characteristic.

DOI10.1016/J.JALGEBRA.2006.04.009zbMath1113.16030OpenAlexW2031641749MaRDI QIDQ855975

Plamen Koshlukov, Sérgio Mota Alves

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.04.009

zbMATH Keywords

tensor productsGrassmann algebraspolynomial identitiesgraded identitiesverbally prime algebrasGK-dimension

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) 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 (8)

Graded identities for algebras with elementary gradings over an infinite field ⋮ Automorphisms and superalgebra structures on the Grassmann algebra ⋮ PI non-equivalence in positive characteristic. ⋮ The Gelfand-Kirillov dimension of the universal algebras of \(M_{a,b}(E)\otimes E\) 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
• The standard identity in characteristic \(p\): A conjecture of I. B. Volichenko
• Supertraces and matrices over Grassmann algebras
• 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
• Identities of associative algebras
• GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC
• Generic verbally prime pi-algebras and their gk-dimensions
• Classification theorems for verbally semiprime algebras
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra

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