Gendo-Frobenius algebras and comultiplication
dc.contributor.author | Yırtıcı, Çiğdem | |
dc.date.accessioned | 2024-11-22T15:26:00Z | |
dc.date.available | 2024-11-22T15:26:00Z | |
dc.date.issued | 2022 | de |
dc.date.updated | 2024-11-02T08:44:32Z | |
dc.description.abstract | Gendo-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.sponsorship | Deutsche Forschungsgemeinschaft | de |
dc.description.sponsorship | Universität Stuttgart | de |
dc.identifier.issn | 1572-9079 | |
dc.identifier.issn | 1386-923X | |
dc.identifier.other | 1912794586 | |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-153171 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/15317 | |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-15298 | |
dc.language.iso | en | de |
dc.relation.uri | doi:10.1007/s10468-022-10156-z | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | de |
dc.subject.ddc | 510 | de |
dc.title | Gendo-Frobenius algebras and comultiplication | en |
dc.type | article | de |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Algebra und Zahlentheorie | de |
ubs.publikation.seiten | 1849-1864 | de |
ubs.publikation.source | Algebras and representation theory 26 (2023), S. 1849-1864 | de |
ubs.publikation.typ | Zeitschriftenartikel | de |