In this paper we introduce and investigate the notion of semiseparable functor. One of its first
features is that it allows a novel description of separable and naturally full functors in terms …

We study the transfer of Baer-Kaplansky classes via additive functors between preadditive
categories. We show that the Baer-Kaplansky property is well behaved with respect to fully …

In a previous paper we introduced the concept of semiseparable functor. Here we continue
our study of these functors in connection with idempotent (Cauchy) completion. To this aim …

The notion of semifunctor between categories, due to S. Hayashi (1985), is defined as a
functor that does not necessarily preserve identities. In this paper we study how several …

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 …

18C20 Eilenberg-Moore and Kleisli constructions for monads 16T05 Hopf algebras and their
applications 18A35 Categories admitting limits (complete categories), functors preserving …

Let F: C→ D be a semi-separable functor and let e: IdC→ IdC be the associated idempotent
natural transformation. Then∃! Fe: Ce→ D, necessarily separable, such that F= Fe◦ H …