Abstract We study Baer–Kaplansky classes in Grothendieck categories. We apply our results
to functor categories, and discuss the transfer of the Baer–Kaplansky property to finitely …

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 …

Galois categories can be viewed as the combinatorial analog of Tannakian categories. We
introduce the notion of pre-Galois category, which can be viewed as the combinatorial …

We study the transfer of (dual) relative Rickart properties via functors between abelian
categories, and we deduce the transfer of (dual) relative Baer property. We also give …

Given a regular Gumm category \mathcalC such that any regular epimorphism is effective for
descent, we prove that any Birkhoff subcategory \mathcalX in \mathcalC gives rise to an …

We prove the following Baer-Kaplansky Theorem in additive categories. If M and N are
objects of an additive category C such that:(1) M= A⨁ X and N= B⨁ X for some objects A, B …

This paper provides a short introduction to the notion of regular category and its use in
categorical algebra. We first prove some of its basic properties, and consider some …

We study the transfer of (dual) relative CS-Rickart properties via functors between abelian
categories. We consider fully faithful functors as well as adjoint pairs of functors. We give …

We show how the theory of (dual) strongly relative Rickart objects may be employed in order
to study strongly relative regular objects and (dual) strongly relative Baer objects in abelian …

In this paper we give necessary and sufficient conditions for an additive functor u: u→ C,
from a small pre-additive category u to a Grothendieck category C, to realize C as a …