%0 Journal Article
%T Adjointable monoidal functors and quantum groupoids
%A K. Szlachanyi
%J Mathematics
%D 2003
%I arXiv
%X Every monoidal functor G: C --> M has a canonical factorization through the category of bimodules over some monoid R in M such that the factor U: C -->_R M_R is strongly unital. Using this result and the characterization of the forgetful functors M_A -->_R M_R of bialgebroids A over R given by Schauenburg together with their bimonad description given by the author recently here we characterize the "long" forgetful functors M_A -->_R M_R --> M of both bialgebroids and weak bialgebras.
%U http://arxiv.org/abs/math/0301253v1