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dc.contributor.CRUESPUNIVERSIDADE ESTADUAL DE CAMPINASpt_BR
dc.contributor.authorunicampMartino, Fabrizio-
dc.typeArtigopt_BR
dc.titleClassifying G-graded algebras of exponent twopt_BR
dc.contributor.authorIoppolo, Antonio-
dc.contributor.authorMartino, Fabrizio-
dc.subjectÁlgebras graduadaspt_BR
dc.subject.otherlanguageGraded algebraspt_BR
dc.description.abstractLet F be a field of characteristic zero and let V be a variety of associative F-algebras graded by a finite abelian group G. If V satisfies an ordinary non-trivial identity, then the sequence cnG(V) of G-codimensions is exponentially bounded. In [2, 3, 8], the authors captured such exponential growth by proving that the limit exists and it is an integer, called the G-exponent of V.The purpose of this paper is to characterize the varieties of G-graded algebras of exponent greater than 2. As a consequence, we find a characterization for the varieties with exponent equal to 2pt_BR
dc.relation.ispartofIsrael journal of mathematicspt_BR
dc.relation.ispartofabbreviationIsr. j. math.pt_BR
dc.publisher.cityJerusalempt_BR
dc.publisher.countryIsraelpt_BR
dc.publisherSpringerpt_BR
dc.date.issued2019-
dc.date.monthofcirculationJan.pt_BR
dc.language.isoengpt_BR
dc.description.volume229pt_BR
dc.description.issuenumber1pt_BR
dc.description.firstpage341pt_BR
dc.description.lastpage356pt_BR
dc.rightsFechadopt_BR
dc.sourceWOSpt_BR
dc.identifier.issn0021-2172pt_BR
dc.identifier.eissn1565-8511pt_BR
dc.identifier.doi10.1007/s11856-018-1804-zpt_BR
dc.identifier.urlhttps://link.springer.com/article/10.1007%2Fs11856-018-1804-zpt_BR
dc.description.sponsorshipCOORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIOR - CAPESpt_BR
dc.description.sponsordocumentnumbersem informaçãopt_BR
dc.date.available2020-03-18T18:45:04Z-
dc.date.accessioned2020-03-18T18:45:04Z-
dc.description.provenanceSubmitted by Sanches Olivia (olivias@unicamp.br) on 2020-03-18T18:45:04Z No. of bitstreams: 0. Added 1 bitstream(s) on 2020-07-20T14:16:35Z : No. of bitstreams: 1 000457585900014.pdf: 293942 bytes, checksum: 2e9034221c7a088ad8de344de941701a (MD5)en
dc.description.provenanceMade available in DSpace on 2020-03-18T18:45:04Z (GMT). No. of bitstreams: 0 Previous issue date: 2019en
dc.identifier.urihttp://repositorio.unicamp.br/jspui/handle/REPOSIP/336832-
dc.contributor.departmentsem informaçãopt_BR
dc.contributor.unidadeInstituto de Matemática, Estatística e Computação Científica Estatística e Ciência da Computaçãopt_BR
dc.identifier.source000457585900014pt_BR
dc.creator.orcid0000-0001-9917-4294pt_BR
dc.type.formArtigo de Periódicopt_BR
dc.description.sponsorNoteA. Ioppolo was partially supported by GNSAGA-INDAM. F. Martino was supported by a postdoctoral grant PNPD from Capes, Brazilpt_BR
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