For a category, we investigate the problem of when the coproduct⊕ and the product
functor∏ from I to are isomorphic for a fixed set I, or, equivalently, when the two functors …

Given a complete, cocomplete category 𝒞, we investigate the problem of describing those
small categories I such that the diagonal functor Δ: 𝒞→ Functors (I, 𝒞) is a Frobenius functor …

Müller generalized in [12] the notion of a Frobenius extension to left (right) quasi-Frobenius
extension and proved the endomorphism ring theorem for these extensions. Recently, Guo …

A notion of a coring extension is defined and it is shown to be equivalent to the existence of
an additive functor between comodule categories that factorises through forgetful functors …

An additive functor F:\mathcalA→\mathcalB between preadditive categories \mathcalA and
\mathcalB is said to be a local functor if, for every morphism f:A→A' in \mathcalA, F (f) …

This paper consists of three results on Frobenius categories:(1) we give sufficient conditions
on when a factor category of a Frobenius category is still a Frobenius category;(2) we show …

We investigate functors between abelian categories having a left adjoint and a right adjoint
that are similar (these functors are called quasi-Frobenius functors). We introduce the notion …

One reason for the universal interest in Frobenius algebras is that their characterisation can
be formulated in arbitrary categories: a functor K: A→ B between categories is Frobenius if …

We introduce and discuss the notion of a naturally full functor. The definition is similar to the
definition of a separable functor; a naturally full functor is a functorial version of a full functor …

We investigate adjoint and Frobenius pairs between categories of comodules over rather
general corings. We particularize to the case of the adjoint pair of functors associated to a …