On the socle of a class of Steinberg algebras

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dc.centroE.T.S.I. Informáticaes_ES
dc.contributor.authorGil-Canto, Cristóbal
dc.contributor.authorMartín-Barquero, Dolores
dc.contributor.authorMartín-González, Cándido
dc.contributor.authorRuiz Campos, Iván
dc.contributor.authorClark, Lisa O
dc.date.accessioned2025-10-08T11:13:43Z
dc.date.available2025-10-08T11:13:43Z
dc.date.issued2025
dc.departamentoMatemática Aplicadaes_ES
dc.descriptionhttps://openpolicyfinder.jisc.ac.uk/id/publication/16712es_ES
dc.description.abstractWe study minimal left ideals in Steinberg algebras of Hausdorff groupoids. We establish a relationship between minimal left ideals in the algebra and open singletons in the unit space of the groupoid. We apply this to obtain results about the socle of Steinberg algebras under certain hypotheses. This encompasses known results about Leavitt path algebras and improves on Kumjian-Pask algebra results to include higher rank graphs that are not row-finitees_ES
dc.description.sponsorshipRoyal Society of New Zealandes_ES
dc.description.sponsorshipSpanish Ministerio de Ciencia e Innovaciónes_ES
dc.description.sponsorshipJunta de Andalucíaes_ES
dc.description.sponsorshipComunidad Autónoma de La Riojaes_ES
dc.identifier.citationLisa O. Clark, Cristóbal Gil Canto, Dolores Martín Barquero, Cándido Martín González e Iván Ruiz Campos, On the socle of a class of Steinberg algebras, Linear Algebra and its Applications, 728 (2026), 449-464es_ES
dc.identifier.doi10.1016/j.laa.2025.09.016
dc.identifier.urihttps://hdl.handle.net/10630/40136
dc.language.isoenges_ES
dc.publisherElsevieres_ES
dc.relation.projectIDPID2019-104236GB-I00/AEI/10.13039/501100011033es_ES
dc.relation.projectIDPID2023-152673NB-I00es_ES
dc.relation.projectIDFQM-336es_ES
dc.relation.projectIDPREDOC_00029es_ES
dc.relation.projectIDFortalece 2023/03es_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.accessRightsembargoed accesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectGrupos topológicoses_ES
dc.subjectAlgebras asociativases_ES
dc.subject.otherÁlgebraes_ES
dc.subject.otherSteinberg algebraes_ES
dc.subject.otherGroupoides_ES
dc.subject.otherSoclees_ES
dc.titleOn the socle of a class of Steinberg algebrases_ES
dc.typejournal articlees_ES
dc.type.hasVersionAMes_ES
dspace.entity.typePublication
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relation.isAuthorOfPublicatione714bba7-73e7-4248-80f3-4eb6eb6179ab
relation.isAuthorOfPublication6a556eed-a484-49c7-b254-ce9f7c940b4a
relation.isAuthorOfPublication.latestForDiscoverycd3c294c-4ae5-4e95-ada6-e413f4d5acfa

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