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 …

According to the classical Krull–Schmidt Theorem, any module of finite composition length
decomposes as a direct sum of indecomposable modules in an essentially unique way, that …

Full article: On a category of chains of modules whose endomorphism rings have at most 2n
maximal ideals Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

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) …

For an ideal $\mathcal {I} $ of a preadditive category $\mathcal {A} $, we study when the
canonical functor $\mathcal {C}:\mathcal {A}{\rightarrow}\mathcal {A}/\mathcal {I} $ is local …

Classically, the Auslander–Bridger transpose finds its best applications in the well-known
setting of finitely presented modules over a semiperfect ring. We introduce a class of …

The classes of uniserial modules, biuniform modules, cyclically presented modules over a
local ring, more generally, couniformly presented modules, and kernels of morphisms …

This thesis mainly pertains biproduct decompositions of objects in certain additive
categories that exhibit a peculiar regular behaviour. More precisely, in certain additive …

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 …