Extending modules are generalizations of injective modules and, dually, lifting modules
generalize projective supplemented modules. There is a certain asymmetry in this duality …

This expository monograph was written for three reasons. Firstly, we wanted to present the
solution to a problem posed by Wolfgang Krull in 1932 [Krull 32]. He asked whether what we …

The main theme in classical ring theory is the structure theory of rings of a particular kind.
For example, no one text book in ring theory could miss the Wedderburn-Artin theorem …

We answer a question posed by Warfield in 1975: the Krull-Schmidt Theorem does not hold
for serial modules, as we show via an example. Nevertheless we prove a weak form of the …

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 …

This dissertation reviews attempts of dualizing the Goldie dimension. Moreover we choose
one of these attempts as the dualization of Goldie dimension and study modules with this …

Commutative monoids yield an analogy between the theory of factorization in commutative
integral domains and the theory of direct sum decompositions of modules. We show that the …

The aim of this introduction is to outline the general setting and to exhibit some examples, in
order to show interesting features of infinite length modules, but also to point out the …

The notion of Krull dimension of an R-module which is now one of the basic tools in the
theory of right Noetherian rings, see [5],[9] and [19], was first introduced by Rentschler and …

We use the concept of dual Goldie dimension and a characterization of semi-local rings due
to Camps and Dicks (1993) to find some classes of modules with semi-local endomorphism …