48 citations · 172 across the 35 of their papers we have counts for
5 papers · 1 filter
A Schneider type theorem for Hopf algebroids
Alessandro Ardizzoni, Gabriella Böhm, Claudia Menini
Comodule algebras of a Hopf algebroid H with a bijective antipode, i.e. algebra extensions B\subseteq A by H, are studied. Assuming that a lifted canonical map is a split epimorphi…
Weak Projections onto a Braided Hopf Algebra
A. Ardizzoni, C. Menini, D. Stefan
We show that, under some mild conditions, a bialgebra in an abelian and coabelian braided monoidal category has a weak projection onto a formally smooth (as a coalgebra) sub-bialge…
A Milnor-Moore Type Theorem for Braided Bialgebras
A. Ardizzoni, C. Menini, D. Stefan
The paper is devoted to prove a version of Milnor-Moore Theorem for connected braided bialgebras that are infinitesimally cocommutative. Namely in characteristic different from 2,…
Wedge Products and Cotensor Coalgebras in Monoidal Categories
A. Ardizzoni
The construction of the cotensor coalgebra for an "abelian monoidal" category $\M$ which is also cocomplete, complete and AB5, was performed in [A. Ardizzoni, C. Menini and D. Ştef…
The Heyneman-Radford Theorem for Monoidal Categories
A. Ardizzoni
We prove Heyneman-Radford Theorem in the framework of Monoidal Categories.