Yırtıcı, Çiğdem2024-11-222024-11-2220221572-90791386-923X1912794586http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-ds-153171http://elib.uni-stuttgart.de/handle/11682/15317http://dx.doi.org/10.18419/opus-15298Gendo-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.eninfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/4.0/510article2024-11-02