In this paper, we first study RD-projective and RD-injective modules using, among other
things, covers and envelopes. Some new characterizations for them are obtained. Then we …

Extending modules which are direct sums of injective modules and semisimple modules Page 1
COMMUNICATIONS IN ALGEBRA, 24(1 I), 3641-3651 (1996) Extending modules which are …

Let $ R $ be a ring and $ n $ a non-negative integer. In this paper, we first introduce the
concept of $ n $-super finitely copresented $ R $-modules and via these modules, we give a …

Let R be a commutative ring with nonzero identity and S⊆ R be a multiplicatively closed
subset of R. In this paper, we introduce and study S-Nil∗-coherent rings which are a …

A moduleMis known to be a CS-module (or an extending module) if every complement
submodule ofMis a direct summand. It is shown that (i) a simple ringRmust be right …

Let R be an individual left R-module of the same type as W, with W being a ring containing
one. W's submodules N and K should be referred to as N and K, respectively that K⊆ N⊆ W …

It is shown that every finitely generated right R-module is almost injective if and only if every
cyclic right R-module is almost injective, if and only if R/J (R) is a right SV-ring with Loewy …

In this paper, the concept of almost projective covers is introduced. Using this concept,
locally perfect rings are characterized. Also, the concepts of w-almost projective modules, w …

A module M is called s-coseparable if for every nonzero submodule U of M such that M/U is
finitely generated, there exists a nonzero direct summand V of M such that V⊆ U and M/V is …

PM Cohn [6] has defined the notion of a pure submodule. Subsequently CP Walker [21], B.
StenstrSm [19] and DP Choudhury and K. Tewari [5] have introduced notions of copurity as …