Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-11241
Authors: Yirtici, Cigdem
Title: Gendo-Frobenius algebras and comultiplication
Issue Date: 2020
metadata.ubs.publikation.typ: Dissertation
metadata.ubs.publikation.seiten: 97
URI: http://elib.uni-stuttgart.de/handle/11682/11258
http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-112585
http://dx.doi.org/10.18419/opus-11241
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.
Appears in Collections:08 Fakultät Mathematik und Physik

Files in This Item:
File Description SizeFormat 
CigdemPhDThesis.pdf543,03 kBAdobe PDFView/Open


Items in OPUS are protected by copyright, with all rights reserved, unless otherwise indicated.