C. Faith and J. Cozzens have shown that a ring, whose right proper cyclic modules are
injective, is either semisimple or a simple, right semihereditary, right Ore V-domain. They …

If M and N are right R-modules, M is called simple-N-injective if every R-homomorphism γ
from a submodule K of N into M with γ (K) simple extends to N. In this paper, a right R …

In this paper, by a left QF-3 ring we shall always understand a ring with a (unique) minimal
faithful left module, and by a QF-3 ring we mean a ring which is both left and right QF-3 …

Endomorphism rings of nonfinitely generated free right i?-modules over a quasi-Frobenius
ring R are right self-injective but not left self-injective. A well-known example of a right self …

It was proved independently by both Wolfson [An ideal theoretic characterization of the ring
of all linear transformations, Amer. J. Math. 75 (1953) 358–386] and Zelinsky [Every linear …

Throughout this paper, R denotes an associative ring with identity and all modules are
unitary. A right R-module M is called principally injective briefly, p-injective) if for any …

Left perfect rings (ie rings over which all flat left modules are projective) were characterized
by Bass [I] as those having the descending chain condition on principal right ideals. Around …

A ring R is a left qp-ring if each of its left ideals is quasi-projective as a left R-module in the
sense of Wu and Jans. The following results giving the structure of left qp-rings are obtained …

OF SELF-INJECTIVE RINGS Page 1 PROCEEDINGS OF THE AMERICAN MATHEMATICAL
SOCIETY Volume 48, Number 2, April 1975 PROJECTIVE MAXIMAL RIGHT IDEALS OF …

An useful tool in the study of the endomorphism ring S of a quasi-injective left R-module U is
the duality defined by RUS which has been recently investigated in several papers ([7],[15]) …