Gendo-Frobenius algebras and comultiplication

dc.contributor.authorYırtıcı, Çiğdem
dc.date.accessioned2024-11-22T15:26:00Z
dc.date.available2024-11-22T15:26:00Z
dc.date.issued2022de
dc.date.updated2024-11-02T08:44:32Z
dc.description.abstractGendo-Frobenius algebras are a common generalisation of Frobenius algebras and of gendo-symmetric algebras. A comultiplication is constructed for gendo-Frobenius algebras, which specialises to the known comultiplications on Frobenius and on gendo-symmetric algebras. In addition, Frobenius algebras are shown to be precisely those gendo-Frobenius algebras that have a counit compatible with this comultiplication. Moreover, a new characterisation of gendo-Frobenius algebras is given. This new characterisation is a key for constructing the comultiplication of gendo-Frobenius algebras.en
dc.description.sponsorshipDeutsche Forschungsgemeinschaftde
dc.description.sponsorshipUniversität Stuttgartde
dc.identifier.issn1572-9079
dc.identifier.issn1386-923X
dc.identifier.other1912794586
dc.identifier.urihttp://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-153171de
dc.identifier.urihttp://elib.uni-stuttgart.de/handle/11682/15317
dc.identifier.urihttp://dx.doi.org/10.18419/opus-15298
dc.language.isoende
dc.relation.uridoi:10.1007/s10468-022-10156-zde
dc.rightsinfo:eu-repo/semantics/openAccessde
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/de
dc.subject.ddc510de
dc.titleGendo-Frobenius algebras and comultiplicationen
dc.typearticlede
ubs.fakultaetMathematik und Physikde
ubs.institutInstitut für Algebra und Zahlentheoriede
ubs.publikation.seiten1849-1864de
ubs.publikation.sourceAlgebras and representation theory 26 (2023), S. 1849-1864de
ubs.publikation.typZeitschriftenartikelde

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