The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets.

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dc.centroE.T.S.I. Informáticaes_ES
dc.contributor.authorBagio, Dirceu
dc.contributor.authorGil-Canto, Cristóbal
dc.contributor.authorGonçalves, Daniel
dc.contributor.authorRoyer, Danilo
dc.date.accessioned2024-04-02T11:57:33Z
dc.date.available2024-04-02T11:57:33Z
dc.date.created2024
dc.date.issued2024-02-21
dc.departamentoMatemática Aplicada
dc.description.abstractLet R be a commutative unital ring, X a subshift, and A_R(X) the corresponding unital subshift algebra. We establish the reduction theorem for A_R(X). As a consequence, we obtain a Cuntz-Krieger uniqueness theorem for A_R(X) and we show that A_R(X) is semiprimitive (resp. semiprime) whenever R is a field (resp. a domain).es_ES
dc.description.sponsorshipThe third author was partially supported by Fapesc - Fundação de Amparo à Pesquisa e Inovação do Estado de Santa Catarina, Capes-Print, and CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico - Brazil. The second author was supported by the Spanish Ministerio de Ciencia e Innovación through project PID2019-104236GB-I00/AEI/10.13039/\- 501100011033 and by the Junta de Andalucía through project FQM-336, all of them with FEDER funds.es_ES
dc.identifier.citationBagio, D., Gil Canto, C., Gonçalves, D. et al. The reduction theorem for algebras of one-sided subshifts over arbitrary alphabets. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 118, 72 (2024).es_ES
dc.identifier.doi10.1007/s13398-024-01576-1
dc.identifier.urihttps://hdl.handle.net/10630/30901
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rights.accessRightsopen accesses_ES
dc.subjectAlgebra lineales_ES
dc.subject.otherSubshift algebraes_ES
dc.subject.otherReduction theoremes_ES
dc.subject.otherPartial skew group ringses_ES
dc.subject.otherSemiprime ringses_ES
dc.subject.otherSemiprimitive ringses_ES
dc.titleThe reduction theorem for algebras of one-sided subshifts over arbitrary alphabets.es_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
relation.isAuthorOfPublicationcd3c294c-4ae5-4e95-ada6-e413f4d5acfa
relation.isAuthorOfPublication.latestForDiscoverycd3c294c-4ae5-4e95-ada6-e413f4d5acfa

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