Graded identities of block-triangular matrices

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dc.citation.volume464
dc.contributor.authorPereira da Silva e Silva, Diogo Diniz
dc.contributor.authorMello, Thiago Castilho de [UNIFESP]
dc.coverageSan Diego
dc.date.accessioned2020-07-31T12:47:33Z
dc.date.available2020-07-31T12:47:33Z
dc.date.issued2016
dc.description.abstractLet F be an infinite field and UT(d(1),..., d(n)) be the algebra of upper block-triangular matrices over F. In this paper we describe a basis for the C-graded polynomial identities of UT(d(1),..., d(n)), with an elementary grading induced by an n-tuple of elements of a group G such that the neutral component corresponds to the diagonal of UT(d(1),..., d(n)). In particular, we prove that the monomial identities of such algebra follow from the ones of degree up to 2n - 1. Our results generalize, for infinite fields of arbitrary characteristic, previous results in the literature which were obtained for fields of characteristic zero and for particular G-gradings. In the characteristic zero case we also generalize results for the algebra UT(d(1),..., d(n)) circle times C with a tensor product grading, where C is a color commutative algebra generating the variety of all color commutative algebras. (C) 2016 Elsevier Inc. All rights reserved.en
dc.description.affiliationUniv Fed Campina Grande, Unidade Acad Matemat & Estat, Aprigio Veloso 785, BR-58429970 Campina Grande, PB, Brazil
dc.description.affiliationUniv Fed Sao Paulo, Inst Ciencia & Tecnol, Ave Cesare M Giulio Lattes 1201, BR-12247014 Sao Jose dos Campos, SP, Brazil
dc.description.affiliationUnifespInstituto de Ciência e Tecnologia, Universidade Federal de São Paulo, Av. Cesare M. Giulio Lattes, 1201, 12247014, São José dos Campos, SP, Brazil
dc.description.sourceWeb of Science
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipIDFAPESP: 2014/10352-4
dc.description.sponsorshipIDFAPESP: 2014/09310-5
dc.description.sponsorshipIDCNPq: 461820/2014-5
dc.description.sponsorshipIDCNPq: 480139/2012-1
dc.description.sponsorshipIDCAPES: 99999.001558/2014-05
dc.format.extent246-265
dc.identifierhttp://dx.doi.org/10.1016/j.jalgebra.2016.07.005
dc.identifier.citationJournal Of Algebra. San Diego, v. 464, p. 246-265, 2016.
dc.identifier.doi10.1016/j.jalgebra.2016.07.005
dc.identifier.issn0021-8693
dc.identifier.urihttps://repositorio.unifesp.br/handle/11600/56899
dc.identifier.wosWOS:000381952900008
dc.language.isoeng
dc.publisherAcademic Press Inc Elsevier Science
dc.relation.ispartofJournal Of Algebra
dc.rightsAcesso restrito
dc.subjectGraded polynomial identitiesen
dc.subjectBlock-triangular matrix algebrasen
dc.subjectBasis for polynomial identitiesen
dc.subjectElementary gradingen
dc.titleGraded identities of block-triangular matricesen
dc.typeArtigo
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