The concepts of an intrinsically projective module and an intrinsically injective module are
introduced and their connection with the presence of annihilator conditions in the …

Abstract A right R-module M is said to be finendo provided that as a left module over its
endomorphism ring it is finitely generated. Let B= End MR. Then B n→ M→ 0 is exact for …

If R is a right non-singular ring (with 1) and Q is its (RE Johnson) maximal right quotient ring,
then the R-epimorphism∑ ipi⊗ qi→∑ piqi from (Q⊗ RQ) R to QR is not in general a …

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

QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES Page 1 Canad. Math. Bull. Vol. 18
(3), 1975 QUASI-INJECTIVE AND PSEUDO-INFECTIVE MODULES BY SK JAIN AND SURJEET …

A ring R is called right principally injective (right P-injective) if every R-linear map from a
principal right ideal of R can be extended to R. If every ring homomorphic image of R is right …

Let R be a ring. A left R-module M (resp. right R-module N) is called singly injective (resp.
singly flat) if Ext1 (F/C, M)= 0 (resp. Tor1 (N, F/C)= 0) for any cyclic submodule C of any …

We show that ifRis a semiperfect ring with essential left socle andrl (K)= Kfor every small
right idealKofR, thenRis right continuous. Accordingly some well-known classes of rings …

In this paper certain injectivity conditions in terms of extensions of monomorphisms are
considered. In particular, it is proved that a ring R is a quasi-Frobenius ring if and only if …

Recall that a ring A is called quasi-Frobenius if it is artinian and self-injective on both sides
(see eg 17, 81,[2],[3] and [6]). In this note, following Yukimoto [ill, we call a ring A strongly …