This book has two predominant objectives. On the one hand, the fundamental concepts of
the theory of modules and rings are presented, for which the presentation is set out in detail …

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

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 …

The object of this paper is to study the relationship between certain projective modules and
their endomorphism rings. Specifically, the basic problem is to describe the projective …

For a ring R and a right R-module M, a submodule N of M is said to be δ-small in M if,
whenever N+ X= M with M/X singular, we have X= M. If there exists an epimorphism p: P→ M …

Ein Modul M heil3t komplementiert, wenn es zu jedem Untermodul C von M ein additives
Komplement in Al gibt, dh ein minimales Element in der Menge {T 1 TC M und T+ Li= fW> …

Mit diesem Buch werden vor allem zwei Ziele angestrebt. Einmal sollen die Grundbegriffe
der Theorie der Moduln und Ringe dargestellt werden. Dabei ist die Darstellung so …

Characterization of Rings Using Quasiprojective Modules. II Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 28, Number 2, May 1971 CHARACTERIZATION …

PROOF. Since RR clearly has acc on direct summands, R contains a primitive idempotent e.
Let T1,…, Tn represent the isomorphism classes of simple left R-modules. Then where …

A right R-module is called R-projective if it is projective relative to the right R-module R R. A
ring R is called right testing for projectivity if every right R-projective module is projective …