Basis of the identities of the matrix algebra of order two over a field of characteristic p not equal 2

dc.creatorKoshlukov, P
dc.date2001
dc.date37073
dc.date2014-11-17T12:43:32Z
dc.date2015-11-26T17:37:48Z
dc.date2014-11-17T12:43:32Z
dc.date2015-11-26T17:37:48Z
dc.date.accessioned2018-03-29T00:19:28Z
dc.date.available2018-03-29T00:19:28Z
dc.identifierJournal Of Algebra. Academic Press Inc, v. 241, n. 1, n. 410, n. 434, 2001.
dc.identifier0021-8693
dc.identifierWOS:000169711100019
dc.identifier10.1006/jabr.2000.8738
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/55332
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/55332
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/55332
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1286053
dc.descriptionIn this paper we prove that the polynomial identities of the matrix algebra of order 2 over an infinite field of characteristic p not equal 2 admit a finite basis. We exhibit a finite basis consisting of four identities, and in "almost" all cases for p we describe a minimal basis consisting of two identities. The only possibilities for p where we do not exhibit minimal bases of these identities are p = 3 and p = 5. We show that when p = 3 one needs at least three identities, and we conjecture a minimal basis in this case. In the course of the proof we construct an explicit basis of the vector space of the central commutator polynomials module the ideal of the identities of the matrix algebra of order two. (C) 2001 Academic Press.
dc.description241
dc.description1
dc.description410
dc.description434
dc.languageen
dc.publisherAcademic Press Inc
dc.publisherSan Diego
dc.publisherEUA
dc.relationJournal Of Algebra
dc.relationJ. Algebra
dc.rightsfechado
dc.sourceWeb of Science
dc.subjectWeak Polynomial-identities
dc.subjectNilpotent Lie-algebras
dc.subjectRepresentations
dc.subjectIdeals
dc.titleBasis of the identities of the matrix algebra of order two over a field of characteristic p not equal 2
dc.typeArtículos de revistas


Este ítem pertenece a la siguiente institución