On a Regev-Seeman conjecture about \(\mathbb{Z}_2\)-graded tensor products.

DOI10.1007/S11856-010-0020-2zbMath1200.16030OpenAlexW2037703315WikidataQ123029295 ScholiaQ123029295MaRDI QIDQ980495

Vincenzo C. Nardozza

Publication date: 29 June 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-010-0020-2

zbMATH Keywords

ideals of identitiesmultilinear identitiesGrassmann algebrasgraded polynomial identitiesalgebras with polynomial identitygraded T-idealsT-prime algebrasgraded tensor productsPI-superalgebras

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) ``Super (or ``skew) structure (16W55)

Related Items (1)

On \(\mathbb Z_2\)-graded identities of the generalized Grassmann envelope of the upper triangular matrices \(UT_{k,l}(F)\).

Cites Work

• The theory of Lie superalgebras. An introduction
• Polynomial identities of related rings
• \(\mathbb{Z}_2\)-graded tensor products of p.i. algebras.
• POLYNOMIAL IDENTITIES ON SUPERALGEBRAS AND ALMOST POLYNOMIAL GROWTH
• GRADED POLYNOMIAL IDENTITIES OF VERBALLY PRIME ALGEBRAS
• Identities of associative 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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