ON SELF-INJECTIVE PERFECT RINGS Page 1 Canad. Math. Bull. Vol. 39 (1), 1996 pp. 55-58
ON SELF-INJECTIVE PERFECT RINGS DOLORS HERBERA AND AHMAD SHAMSUDDIN …

1. Introduction. It is well-known by C. Faith [5] that a left (or right) self-injective ring is quasi-
Frobenius (simply QF) provided it satisfies the ACC on left annihilators. Thus for self-injective …

A ring R with unity is called right (left) self injective if the right (left) R-module R is injective
[7]. The purpose of this note is to prove the following: Let R be a prime ring with a maximal …

A ring is called quasi-Frobenius, briefly QF, if it is right (or left) Artinian and right (or left) self-
injective. A ring R is said to be right (left) perfect if every right (left)/?-module has a projective …

Harada calls a ring $ R $ right simple-injective if every $ R $-homomorphism with simple
image from a right ideal of $ R $ to $ R $ is given by left multiplication by an element of $ R …

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

A generalization of injectivity, caIled E-injectivity, is studied in connection with von Neumann
regular rings and continuous regular ring (in the sense of Y. Ulumi). Various pr. 야 rties of E …

Although the notion of the maximal quotient ring of a nonsingular ring has been around for
some time, not much is known about its structure in general beyond the important theorems …

Introduction. Injective modules, specially self-injective rings, occupy a prominent position in
ringtheory and have drawn the attention of many authors since several years (cf. for example …

Ring Ouasi-Frobenius? Page 1 oURNAL OF ALGEBRA 165, 531–542 (1994) When Is a Self-Injective
Semiperfect Ring Ouasi-Frobenius? JOHN CLARK Department of Mathematics and Statistics …