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 …

J. Korean Math. Soc. 46 (2009), No. 1, pp. 51–58 Page 1 J. Korean Math. Soc. 46 (2009), No. 1,
pp. 51–58 THE CLASS OF MODULES WITH PROJECTIVE COVER YONGHUA GUO …

The notion of generalized projective covers Is Introduced to give a natural generalization of
a theorem of Bass on perfect rings. Moreover, In terms of this notion, some characterizations …

Given a module M over a ring R, G. Azumaya [1] introduced the dual notions of M-projective
and M-injective modules. These concepts have actually led MS Shrikhande to a study of …

A ring $ R $ is regular [completely reducible] if and only if the character module of every left
$ R $-module is quasi-injective [quasiprojective]. Submodules of quasiprojective left $ R …

Let R be a ring and M a fixed R-module. An R-module Q is called M-injective if, given a
monomorphism C $ of an R-module N into M, every homomorphism: N-+ Q can be extended …

We have defined a new concept of almost relative projectivity [7], If a module Mo is M,-
ρrojective for a finite set of modules Miy then Mo is 2,-φ Λff-projective [2]. However this fact is …

Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …

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 …

1. Throughout this note, all rings will have unit elements and all modules will be unitary. By a
Noetherian ring, we shall mean a right Noetherian ring. A non-zero right ideal in a ring will …