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http://dx.doi.org/10.18419/opus-11241
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DC Element | Wert | Sprache |
---|---|---|
dc.contributor.advisor | Koenig, Steffen (Prof. Dr.) | - |
dc.contributor.author | Yirtici, Cigdem | - |
dc.date.accessioned | 2021-01-19T08:53:39Z | - |
dc.date.available | 2021-01-19T08:53:39Z | - |
dc.date.issued | 2020 | de |
dc.identifier.other | 1744960356 | - |
dc.identifier.uri | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-112585 | de |
dc.identifier.uri | http://elib.uni-stuttgart.de/handle/11682/11258 | - |
dc.identifier.uri | http://dx.doi.org/10.18419/opus-11241 | - |
dc.description.abstract | Two large classes of algebras, Frobenius algebras and gendo-symmetric algebras, are characterised by thenexistence of a comultiplication with some special properties. Symmetric algebras are both Frobenius and gendo-symmetric. Kerner and Yamagata investigated two variations of gendo-symmetric algebras and in fact these two variations contain gendo-symmetric and Frobenius algebras. We call one of these variations gendo-Frobenius algebras. In this thesis, we construct a comultiplication for gendo-Frobenius algebras, which specialises to the known comultiplications on Frobenius algebras and on gendo-symmetric algebras. Moreover, we show that Frobenius algebras are precisely those gendo-Frobenius algebras that have a counit compatible with this comultiplication. | en |
dc.language.iso | en | de |
dc.rights | info:eu-repo/semantics/openAccess | de |
dc.subject.ddc | 510 | de |
dc.title | Gendo-Frobenius algebras and comultiplication | en |
dc.type | doctoralThesis | de |
ubs.dateAccepted | 2020-12-01 | - |
ubs.fakultaet | Mathematik und Physik | de |
ubs.institut | Institut für Algebra und Zahlentheorie | de |
ubs.publikation.seiten | 97 | de |
ubs.publikation.typ | Dissertation | de |
ubs.thesis.grantor | Mathematik und Physik | de |
Enthalten in den Sammlungen: | 08 Fakultät Mathematik und Physik |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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CigdemPhDThesis.pdf | 543,03 kB | Adobe PDF | Öffnen/Anzeigen |
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