Endomorphism rings of projective and quasiprojective modules (and in particular the
problem of finding conditions on a module for its endomorphism ring to have a certain …

This paper investigates the structure of cyclically pure (or C-pure) projective modules. In
particular, it is shown that a ring R is left Noetherian if and only if every C-pure projective left …

Artinian serial principal ideal rings and artinian serial rings are tradi-tionally called
uniserialrings and generalized uniserial rings, respectively. These rings are important …

In this paper, we introduce and study the dual notion of simple-direct-injective modules.
Namely, a right R-module M is called simple-direct-projective if, whenever A and B are …

A recent paper by Goro Azumaya on M-projective and M-injective modules [1] suggests a
generalization of the concept of hereditary rings to modules which is also capable of …

\S 0. Introduction. The main purpose of this paper is to extend some results on completely
reducible modules to quasi-injective modules by replacing “irreducible submodules” with …

The restricted injective envelopes with respect to various types of preradicals have been
studied by many authors (see eg [2],[6],[8],[10]). In the second paragraph we shall dualize …

In 1958 Matlis proved that the study of Noetherian complete local rings could be subsumed
under the study of injective modules E over a commutative ring A such that $ B=\mathrm …

Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …

ON ENDOMORPHISM RINGS OF NOETHERIAN QUASI-INJECTIVE MODULES Page 1
Harada, M. and Ishii, T. Osaka J. Math. 9 (1972), 217-223 ON ENDOMORPHISM RINGS OF …