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math.QA2006★ 2 cited
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,…
math.QA2002
Hochschild Cohomology of Algebras in Monoidal Categories and Splitting Morphisms of Bialgebras
A. Ardizzoni, C. Menini, D. Stefan
The main goal of this paper is to investigate the structure of Hopf algebras with the property that either its Jacobson radical is a Hopf ideal or its coradical is a subalgebra. In…
math.QA2000
Deformation cohomology for Yetter-Drinfel'd modules and Hopf (bi)modules
Florin Panaite, Dragos Stefan
If A is a bialgebra over a field k and M, N are either left-right Yetter-Drinfel'd modules or left-right Hopf modules over A, we construct deformation cohomologies H^*(M,N) as tota…