De. Radford et J. Towber, YETTER-DRINFELD CATEGORIES ASSOCIATED TO AN ARBITRARY BIALGEBRA, Journal of pure and applied algebra, 87(3), 1993, pp. 259-279
Various prebraided monoidal categories associated to a bialgebra over
a commutative ring are studied and their relationships at various leve
ls are examined. Generalizations of braided bialgebras are described a
nd prebraided monoidal categories are associated with them. Three form
ally different braided monoidal categories can always be associated wi
th any bialgebra over a commutative ring. These are not necessarily th
e same.