Building on a categorical approach of G. Janelidze and W. Tholen to descent theory for
modules, we show how this theory can be presented at the level of enriched categories …

We introduce heavily separable functors of the second kind and study them in three different
situations. The first of these is with restrictions and extensions of scalars for modules over …

Any (co) ring R is an endofunctor with (co) multiplication on the category of abelian groups.
These notions were generalized to monads and comonads on arbitrary categories. Starting …

We develop some basic functorial techniques for the study of the categories of comodules
over corings. In particular, we prove that the induction functor stemming from every …

In this note we consider different versions of coinduction functors between categories of
comodules for corings induced by a morphism of corings. In particular we introduce a new …

We show, for an arbitrary adjunction F⊢ U: B→ A with B Cauchy complete, that the functor F
is comonadic if and only if the monad T on A induced by the adjunction is of effective …

We study and relate categories of modules, comodules and contramodules over a
representation of a small category taking values in (co) algebras, in a manner similar to …

Cartan and Eilenberg [1, p. 961 call a functor T of several variables right balanced if T
becomes an exact functor of the remaining variables when any covariant variable is …

We introduce a theory of modules over a representation of a small category taking values in
entwining structures over a semiperfect coalgebra. This takes forward the aim of developing …

For an associative ring R, let P be an R-module with S= EndR (P). C. Menini and A. Orsatti
posed the question of when the related functor HomR (P,−)(with left adjoint P⊗ S−) induces …