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math.CT2013
Adjunctions and Braided Objects
Alessandro Ardizzoni, Claudia Menini
In this paper we investigate the categories of braided objects, algebras and bialgebras in a given monoidal category, some pairs of adjoint functors between them and their relation…
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…