Module theory is an important tool for many different branches of mathematics, as well as
being an interesting subject in its own right. Within module theory, the concept of injective …

This monograph first published in 1986 is a reasonably self-contained account of a large
part of the theory of non-commutative Noetherian rings. The author focuses on two important …

Module theory over commutative asociative rings is usually extended to noncommutative
associative rings by introducing the category of left (or right) modules. An alternative to this …

A class of endoprimitive rings is defined which contains all strongly prime rings and all
weakly primitive rings. These rings are characterized in several ways and various facts …

In 5 2 several results on strongly prime rings are extended to quasi-projective strongly prime
modules. In 3 3 not necessarily associative rings are considered as modules over their …

In this paper, we study the class of prime semimodules and the related concepts, such as the
class of semimodules, the class of Dedekind semidomains, the class of prime semimodules …

In this note we compare some notions of primeness for modules existing in the literature. We
characterize the prime left R-modules such that the left annihilator of every element is a (two …

Strongly prime rings may be defined as prime rings with simple central closure. This paper is
concerned with further investigation of such rings. Various characterizations, particularly in …

In an earlier paper [8] the authors introduced strongly and properly semiprime modules.
Here properly semiprime modules M are investigated under the condition that every cyclic …