GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS

DOI10.1142/S0219498807002193zbMath1123.16013MaRDI QIDQ3595325

Vincenzo C. Nardozza

Publication date: 10 August 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

matrix algebrasgraded algebrastensor productsfree associative algebrasGrassmann algebrasgraded polynomial identitiesT-prime T-idealsPI equivalences

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Trace rings and invariant theory (associative rings and algebras) (16R30) 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 (11)

Graded identities of \(M_n(E)\) and their generalizations over infinite fields ⋮ Graded identities for algebras with elementary gradings over an infinite field ⋮ Automorphisms and superalgebra structures on the Grassmann algebra ⋮ Graded monomial identities and almost non-degenerate gradings on matrices ⋮ \(\mathbb{Z}\)-graded identities of the Virasoro algebra ⋮ Graded identities and central polynomials for the 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. ⋮ Identities of PI-Algebras Graded by a Finite Abelian Group ⋮ Graded identities for tensor products of matrix (super)algebras over the Grassmann algebra

Cites Work

• On the graded identities of \(M_{1,1}(E)\)
• Tensor products of matrix algebras over the Grassmann algebra
• Graded polynomial identities of matrices
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• $\mathbf {Z}_n$-graded polynomial identities of the full matrix algebra of order $n$
• Z-Graded Polynomial Identities of the Full Matrix Algebra
• Graded Polynomial Identities for Tensor Products by the Grassmann Algebra
• Group gradings on associative algebras

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