Crossed products and their central polynomials.

DOI10.1016/j.jpaa.2012.11.012zbMath1294.16017OpenAlexW1988619348MaRDI QIDQ387386

Eli Aljadeff, Yaakov Karasik

Publication date: 23 December 2013

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.2012.11.012

zbMATH Keywords

ideals of identitiespolynomial identitiesPI algebrasgeneric algebrasrelatively free algebrasalgebras of matricescentral polynomialscentral valued polynomialscrossed product gradingsgraded polynomial identitiesgroup gradings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) 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) Twisted and skew group rings, crossed products (16S35)

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The center of the generic \(G\)-crossed product, A graph theoretic approach to graded identities for matrices., Quotient gradings and the intrinsic fundamental group, Groups of central-type, maximal connected gradings and intrinsic fundamental groups of complex semisimple algebras, Simple 𝐺-graded algebras and their polynomial identities, Primeness property for graded central polynomials of verbally prime algebras

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