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http://dx.doi.org/10.18419/opus-11241
Autor(en): | Yirtici, Cigdem |
Titel: | Gendo-Frobenius algebras and comultiplication |
Erscheinungsdatum: | 2020 |
Dokumentart: | Dissertation |
Seiten: | 97 |
URI: | http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-112585 http://elib.uni-stuttgart.de/handle/11682/11258 http://dx.doi.org/10.18419/opus-11241 |
Zusammenfassung: | 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. |
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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