\(\mathbb{Z}_2\)-graded tensor products of p.i. algebras.

DOI10.1016/j.jalgebra.2005.01.049zbMath1083.16017OpenAlexW1971132554MaRDI QIDQ2569438

Amitai Regev, Tamar Seeman

Publication date: 27 October 2005

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.049

zbMATH Keywords

regular algebrasideals of identitiesmultilinear identitiesgraded polynomial identitiesT-prime algebrasT-prime T-idealsgraded tensor products2-graded identities

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Graded rings and modules (associative rings and algebras) (16W50) (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)

Related Items (15)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ A primeness property for central polynomials of verbally prime P.I. algebras ⋮ Graded identities for algebras with elementary gradings over an infinite field ⋮ On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\). ⋮ Identities and central polynomials for real graded division algebras ⋮ Graded identities and central polynomials for the verbally prime algebras ⋮ Graded identities of simple real graded division algebras ⋮ Primeness property for graded central polynomials of verbally prime algebras ⋮ On a Regev-Seeman conjecture about \(\mathbb{Z}_2\)-graded tensor products. ⋮ Graded identities of block-triangular matrices ⋮ Polynomial identities for graded tensor products of algebras. ⋮ Graded tensor products. ⋮ Commutation relations and Vandermonde determinants ⋮ Identities of PI-Algebras Graded by a Finite Abelian Group ⋮ On regular 𝐺-gradings

Cites Work

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• The theory of Lie superalgebras. An introduction
• Polynomial identities of related rings
• Existence of identities in \(A \otimes B\)
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Identities of associative algebras

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