This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

The term The Theory of Rings seems first used as title of a book by Jacobson [43], and in his
preface Jacobson asserts that the theory that forms the subject of the book had its beginning …

A ring is called quasi-Frobenius if it is right or left selfinjective, and right or left artinian (all
four combinations are equivalent). The study of these rings grew out of the theory of …

Mares [9] has called a projective module semiperfect if every homomorphic image has a
projective cover and has shown that many of the properties of semiperfect rings can be …

Preface All rings are assumed to be associative and (except for nilrings and some stipulated
cases) to have nonzero identity elements. A ring A is said to be regular if for every element a …

Since the discovery of the existence of the injective hull of an arbitrary module
independently in 1952 by Shoda and in 1953 by Eckmann and Schopf, there have been …

We introduce the notions of Baer and quasi-Baer properties in a general module theoretic
setting. A module M is called (quasi-) Baer if the right annihilator of a (two-sided) left ideal of …

The concept of right Rickart rings (or right pp rings) has been extensively studied in the
literature. In this article, we study the notion of Rickart modules in the general module …

Rickart property for modules has been studied recently. In this article, we introduce and
study the notion of dual Rickart modules. A number of characterizations of dual Rickart …

A ring $ R $, possibly with no identity, is called an ${I_0} $-ring if each one-sided ideal not
contained in the Jacobson radical $ J (R) $ contains a nonzero idempotent. If, in addition …