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Relative Frobenius algebras are groupoids

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Date

Date
2013
Journal Article
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cris.lastimport.scopus2025-07-23T03:30:44Z
cris.lastimport.wos2025-08-08T01:32:24Z
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2013-03-21T12:51:23Z
dc.date.available2013-03-21T12:51:23Z
dc.date.issued2013-01
dc.description.abstract

We functorially characterize groupoids as special dagger Frobenius algebras in the category of sets and relations. This is then generalized to a non-unital setting, by establishing an adjunction between H*-algebras in the category of sets and relations, and locally cancellative regular semigroupoids. Finally, we study a universal passage from the former setting to the latter. (C) 2012 Elsevier B.V. All rights reserved.

dc.identifier.doi10.1016/j.jpaa.2012.04.002
dc.identifier.issn0022-4049
dc.identifier.scopus2-s2.0-84865972422
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/78030
dc.identifier.wos000309699500013
dc.language.isoeng
dc.subject.ddc510 Mathematics
dc.title

Relative Frobenius algebras are groupoids

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/closedAccess
dcterms.bibliographicCitation.journaltitleJournal of Pure and Applied Algebra
dcterms.bibliographicCitation.number1
dcterms.bibliographicCitation.originalpublishernameElsevier
dcterms.bibliographicCitation.pageend124
dcterms.bibliographicCitation.pagestart114
dcterms.bibliographicCitation.volume217
dspace.entity.typePublicationen
uzh.contributor.affiliationUniversity of Oxford
uzh.contributor.affiliationUniversity of Zurich
uzh.contributor.affiliationUniversity of Zurich
uzh.contributor.authorHeunen, C
uzh.contributor.authorContreras, I
uzh.contributor.authorCattaneo, A S
uzh.contributor.correspondenceYes
uzh.contributor.correspondenceNo
uzh.contributor.correspondenceNo
uzh.document.availabilitynone
uzh.eprint.datestamp2013-03-21 12:51:23
uzh.eprint.lastmod2025-08-08 01:38:09
uzh.eprint.statusChange2013-03-21 12:51:23
uzh.harvester.ethYes
uzh.harvester.nbNo
uzh.identifier.doi10.5167/uzh-70309
uzh.jdb.eprintsId23269
uzh.oastatus.unpaywallbronze
uzh.oastatus.zoraClosed
uzh.publication.citationHeunen, C., Contreras, I., & Cattaneo, A. S. (2013). Relative Frobenius algebras are groupoids. Journal of Pure and Applied Algebra, 217, 114–124. https://doi.org/10.1016/j.jpaa.2012.04.002
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.scopus.impact26
uzh.scopus.subjectsAlgebra and Number Theory
uzh.workflow.doajuzh.workflow.doaj.false
uzh.workflow.eprintid70309
uzh.workflow.fulltextStatusrestricted
uzh.workflow.revisions63
uzh.workflow.rightsCheckkeininfo
uzh.workflow.statusarchive
uzh.wos.impact20
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