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Various prebraided monoidal categories associated to a bialgebra over a commutative ring
are studied and their relationships at various levels are examined. Generalizations of …

A braided group in the sense of Majid [6] is a Hopf algebra B in a braided monoidal category
which satisfies a generalized commutativity condition; this condition is expressed with …

Multiplier bialgebras in braided monoidal categories - ScienceDirect Skip to main contentSkip to
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Central bialgebras in a braided category C are algebras in the center of the category of
coalgebras in C. On these bialgebras another product can be defined, which plays the role …

Hopf (bi-) modules and crossed modules over a bialgebra B in a braided monoidal category
C are considered. The (braided) monoidal equivalence of both categories is proved …

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 …

By definition, a bialgebra H in a braided monoidal category (C, τ) is an algebra and
coalgebra whose multiplication and comultiplication (and unit and counit) are compatible; …

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 …