Abstract
AbstractGendo-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.
Funder
deutsche forschungsgemeinschaft
Universität Stuttgart
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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1. Higher Morita–Tachikawa correspondence;Bulletin of the London Mathematical Society;2024-05-22