Graded tensor products.

DOI10.1016/J.JPAA.2008.12.010zbMath1186.16013OpenAlexW2121146624MaRDI QIDQ1020946

Yu. A. Bakhturin, Amitai Regev

Publication date: 4 June 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.12.010

zbMATH Keywords

Hopf algebrasbicharacterscommutation relationsgraded identitiesPI algebrastwisted tensor productsgraded tensor productsregular decompositions

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) 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) Bialgebras (16T10)

Related Items (5)

A primeness property for central polynomials of verbally prime P.I. algebras ⋮ Graded identities of simple real graded division algebras ⋮ Primeness property for graded central polynomials of verbally prime algebras ⋮ On group gradings on PI-algebras. ⋮ On regular 𝐺-gradings

Cites Work

• Commutation relations and Vandermonde determinants
• Existence of identities in \(A \otimes B\)
• \(\mathbb{Z}_2\)-graded tensor products of p.i. algebras.
• VARIETIES AND $ Z_2$-GRADED ALGEBRAS
• Bicharacters, twistings, and Scheunert's theorem for Hopf algebras

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