Graded central polynomials for the matrix algebra of order two

dc.creatorBrandao, AP
dc.creatorKoshlukov, P
dc.creatorKrasilnikov, A
dc.date2009
dc.dateJUL
dc.date2014-11-19T23:47:08Z
dc.date2015-11-26T17:09:39Z
dc.date2014-11-19T23:47:08Z
dc.date2015-11-26T17:09:39Z
dc.date.accessioned2018-03-28T23:58:17Z
dc.date.available2018-03-28T23:58:17Z
dc.identifierMonatshefte Fur Mathematik. Springer Wien, v. 157, n. 3, n. 247, n. 256, 2009.
dc.identifier0026-9255
dc.identifierWOS:000266830800004
dc.identifier10.1007/s00605-008-0046-2
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68145
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/68145
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68145
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1280674
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionLet K be an infinite integral domain, and let A = M(2)(K) be the matrix algebra of order two over K. The algebra A can be given a natural Z(2)-grading by assuming that the diagonal matrices are the 0-component while the off-diagonal ones form the 1-component. In this paper we study the graded identities and the graded central polynomials of A. We exhibit finite bases for these graded identities and central polynomials. It turns out that the behavior of the graded identities and central polynomials in the case under consideration is much like that in the case when K is an infinite field of characteristic 0 or p > 2. Our proofs are characteristic-free so they work when K is an infinite field, char K = 2. Thus we describe finite bases of the graded identities and graded central polynomials for M(2)(K) in this case as well.
dc.description157
dc.description3
dc.description247
dc.description256
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionFINATEC
dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.descriptionFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.descriptionCNPq [620025/2006-9, 302655/2005-0]
dc.descriptionFAPESP [05/60337-2]
dc.languageen
dc.publisherSpringer Wien
dc.publisherWien
dc.publisherAustria
dc.relationMonatshefte Fur Mathematik
dc.relationMon.heft. Math.
dc.rightsfechado
dc.rightshttp://www.springer.com/open+access/authors+rights?SGWID=0-176704-12-683201-0
dc.sourceWeb of Science
dc.subjectGraded identities
dc.subjectGraded central polynomials
dc.subjectGraded T-ideal
dc.subjectGraded T-space
dc.subjectBasis of identities
dc.subjectIdentities
dc.titleGraded central polynomials for the matrix algebra of order two
dc.typeArtículos de revistas


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