Let $ R $ be a ring and $ M $ be an $ R $-module. In this paper we investigate modules $ M
$ such that every (simple) cosingular $ R $-module is $ M $-projective. We prove that every …

In this paper we study when a unital right module M over a ring R with identity has a special
“small image” property we call (S*): namely, M has (S*) if every submodule N of M contains a …

In this paper we investigate modules with the property C*: namely, M has C* if every
submodule N of M contains a direct summand K of M such that N/K is cosingular. We prove …

A right $ R $-module $ M $ is called $ R $-projective provided that it is projective relative to
the right $ R $-module $ R_ {R} $. This paper deals with the rings whose all nonsingular …

In Bican et al., it is proved that all modules over an arbitrary ring have flat covers. In this
article, we shall study rings over which flat covers of finitely generated modules are …

We investigate characterizations of rings whose simple singular right R-modules are GP-
injective. It is proved that if R is a semiprime ring whose simple singular right R-modules are …

R -PROJECTIVE MODULES OVER A SEMIPERFECT RING Page 1 Canad. Math. Bull. Vol. 24
(3), 1981 R -PROJECTIVE MODULES OVER A SEMIPERFECT RING BY RD KETKAR AND N …

Let R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d) …

ABSTRACT. Let R be a ring with identity and M a right R-module. Let E (M) denote the
injective hull of M and Z'(M):= MORadE (M). We say M has*-radical if Z (M)= RadM. In this …

A module M is said to be weakly N-projective if it has a projective cover π: P (M)↠ M and for
each homomorphism: P (M)→ N there exists an epimorphism σ: P (M)↠ M such that (kerσ) …