Let M and N be left R-modules. N is called M-ep-injective if N is essentially M-injective and
pseudoly M-injective. An example is given to show that M-ep-injectivityis a non-trivial …

Abstract In [5] and [6], we have introduced a couple of relative generalized epi-projectivities
and given several properties of these projectivities. In this paper, we consider relative …

An R-module M is called∑-extending if every coproduct of copies of M is extending, ie
closed submodules are direct summands. Oshiro (1984) has shown that the ring R is∑ …

Let X be a class of left R-modules. It is proved that if type 2, t-extending Ieft-R-modules Mr
and M2 are relatively essentially. te-injective and Ml is pseudoly M2-X'-injective (or M2 is …

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 …

All rings are associative with unity and modules are unital right modules. We use R to
denote such a ring and M to denote a right R-module. A module M is called CS or extending …

An R-module hf is called extending (or a CS-module) if every submodule of M is essential in
a direct summand of M. The module M is called C-eztendzng (resp., finitely or countably C …

Throughout this paper R will denote a ring with idenity element and M a unitary right module
over R. An R-module M is said to be direct injective if and only if given direct summand N of …

Let R be a ring. A right R− module M is called quasi-principally injective if it is M− principally
inj ective. In this paper, we give some characterizations and properties of principally inj …

A Generalization of Azumaya’s Theorem on M-Injective Modules LTT Page 1 Southeast Asian
Bulletin of Mathematics c SEAMS. 2005 Southeast Asian Bulletin of Mathematics (2005) 29 …