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 …

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 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) …

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 …

Let M1,…, Mn be right modules over a ring R. Suppose that the endomorphism ring EndR
(Mi) of each module Mi has at most two maximal right ideals. Is it true that every direct …

In this article, we present the classical Krull-Schmidt Theorem for groups, its statement for
modules due to Azumaya, and much more modern variations on the theme, like the so …

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