Let R be an associative ring. This monograph deals with the right R-modules MR whose
endomorphism ring End (MR) is semilocal. More generally, let A be any preadditive …

In this paper, we study the behavior of endomorphism rings of indecomposable (uniform)
quasi-injective modules. A very natural question here is, for a morphism f: A→ B, with A, B …

We study direct-sum decompositions of RD-projective modules. In particular, we investigate
the rings over which every RD-projective right module is a direct sum of cyclically presented …

We study the category Morph (Mod-R) whose objects are all morphisms between two right R-
modules. The behavior of the objects of Mod-R whose endomorphism ring in Morph (Mod-R) …

Factorizations of elements in local rings and semilocal rings of finite type Page 1 Journal of
Algebra and Its Applications Vol. 19, No. 12 (2020) 2050234 (24 pages) c© World Scientific …

This thesis is divided in two chapters. The first one concerns direct-sum decompositions in
additive categories. It is well known that if a module admits a direct-sum decomposition into …

We show how factor categories can be used to describe the structure of modules in some
particular classes. The key concept turns out to be that of local functor. In this paper, we …

We study the existence of maximal ideals in preadditive categories defining an order ⪯⪯
between objects, in such a way that if there do not exist maximal objects with respect to ⪯⪯ …