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math.QA2013
On Frobenius and separable algebra extensions in monoidal categories. Applications to wreaths
Daniel Bulacu, Blas Torrecillas
We characterize Frobenius and separable monoidal algebra extensions $i: R\ra S$ in terms given by and . For instance, under some conditions, we show that the extension is Fr…
math.QA2013
Quasi-bialgebra Structures and Torsion-free Abelian Groups
Alessandro Ardizzoni, Daniel Bulacu, Claudia Menini
We describe all the quasi-bialgebra structures of a group algebra over a torsion-free abelian group. They all come out to be triangular in a unique way. Moreover, up to an isomorph…