Let H be a×-bialgebra in the sense of Takeuchi. We show that if H is×-Hopf, and if H fulfills
the finiteness condition necessary to define its skew dual H∨, then the coopposite of the …

Let $ A $ be an algebra over a commutative ring $ k $. We introduce the notion of a
coquasitriangular left bialgebroid over $ A $ and show that the category of left comodules …

We survey the theory of Hopf monads on monoidal categories, and present new examples
and applications. As applications, we utilise this machinery to present a new theory of cross …