Abstract The Eilenberg-Moore constructions and a Beck-type theorem for pairs of monads
are described. More specifically, a notion of a Morita context comprising of two monads, two …

Abstract We study the Morita-Takeuchi context connecting two coalgebras which is dual to
the Morita context for algebras. We show that every Morita-Takeuchi context, connecting two …

We characterize abstract Morita contexts in several bicategories. In particular, we use
heteromorphisms for the bicategory Prof of categories and profunctors and coreflective …

Let U be a strong monoidal functor between monoidal categories. If it has both a left adjoint
L and a right adjoint R, we show that the pair (R, L) is a linearly distributive functor and (U …

We give a formal concept of (right) wide Morita context between two 0-cells in arbitrary
bicategory. We then construct a new bicategory with the same 0-cells as the oldest one, and …

Morita equivalence has been studied for categories enriched over a monoidal category. For
such enriched categories themselves with a monoidal structure, we define a monoidal …

Hopf monads are identified with monads in the 2-category OpMon of monoidal categories,
opmonoidal functors and transformations. Using Eilenberg-Moore objects, it is shown that for …

We introduce a purely categorical notion of Morita context between abelian categories,
which extends the classical notion of Morita context for module categories as well as the …

We discuss categorical aspects of the theory of bimonads on arbitrary categories as
introduced in Mesablishvili and Wisbauer (JK Theory 7: 349–388, 2011). These includ …

The main results of the paper describe conditions which imply Morita equivalences of certain
functor categories. It is shown that various well known results of homological algebra, which …