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Type: Artigo de periódico
Author: Alves, SM
Brandao, AP
Koshlukov, P
Abstract: Let K be a field, char K = 0, and let E = E(0) circle plus E(1) be the Grassmann algebra of infinite dimension over K, equipped with its natural Z(2)-grading. If G is a finite abelian group and R = circle plus(g is an element of G) R((g)) is a G-graded K-algebra, then the algebra R circle times E can be G x Z(2)-graded by setting (R circle times E((g,i)) = R((g)) circle times E(i). In this article we describe the graded central polynomials for the T-prime algebras M(n)(E) congruent to M(n)(K) circle times E. As a corollary we obtain the graded central polynomials for the algebras M(a,b)(E) circle times E. As an application, we determine the Z(2)-graded identities and central polynomials for E circle times E.
Subject: Central polynomials
Graded central polynomials
Graded identities
Graded T-ideal
Graded T-space
Country: EUA
Editor: Taylor & Francis Inc
Citation: Communications In Algebra. Taylor & Francis Inc, v. 37, n. 6, n. 2008, n. 2020, 2009.
Rights: fechado
Identifier DOI: 10.1080/00927870802266482
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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