Tensor products of matrix algebras over the Grassmann algebra

DOI10.1016/0021-8693(90)90286-WzbMath0738.16007MaRDI QIDQ1814038

Amitai Regev

Publication date: 25 June 1992

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

zbMATH Keywords

free algebratensor productspolynomial identitiesmatrices over Grassmann algebras\(T\)-ideals\(T\)-prime ideals

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Graded rings and modules (associative rings and algebras) (16W50) (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 (24)

Tensor product theorems in positive characteristic. ⋮ Graded Polynomial Identities for Tensor Products by the Grassmann Algebra ⋮ A primeness property for central polynomials of verbally prime P.I. algebras ⋮ Graded identities for algebras with elementary gradings over an infinite field ⋮ On the codimensions of the verbally prime P.I. algebras ⋮ Polynomial identities of algebras in positive characteristic. ⋮ Asymptotics in the cocharacter sequence of \(A\otimes B\). ⋮ PI non-equivalence in positive characteristic. ⋮ Unnamed Item ⋮ A variant of Rosset's approach to the Amitsur-Levitzki theorem and some $\mathbb{Z}_{2}$-graded identities of $\mathrm{M}_{n}(E)$ ⋮ Azumaya-like properties of verbally prime algebras ⋮ On some properties and special identities in the second order matrix algebra over Grassmann algebras ⋮ 2-Graded identities for the tensor square of the Grassmann algebra ⋮ Graded identities for T-prime algebras over fields of positive characteristic ⋮ GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS ⋮ GRADED IDENTITIES AND PI EQUIVALENCE OF ALGEBRAS IN POSITIVE CHARACTERISTIC ⋮ On the graded identities of \(M_{1,1}(E)\) ⋮ Minimum degree of an A-identity of E ⊗ E ⋮ Graded identities of several tensor products of the Grassmann algebra ⋮ PI (non)equivalence and Gelfand-Kirillov dimension in positive characteristic. ⋮ T-ideals and superAzumaya algebras ⋮ Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra ⋮ A transposition factorization of walk-permutations in graphs ⋮ Graded A-identities for M_1,1 (E)

Cites Work

• A transposition factorization of walk-permutations in graphs
• Polynomial identities of related rings
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• An Application of Graph Theory to Algebra
• Unnamed Item
• Unnamed Item

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