Small-Essentially Pseudo-Injective Modules

Abstract

Let R be associative ring with unit element and X be unitary right R-module. In this work, we introduce the definition of the concept small-essentially pseudo injective module (shortly, S-Ess-pseudo injective). Many properties of this concept are introduced and also we are consider some of their characterizations. Furthermore, we are studied the relation between our concept and some known R-modules and give some results on their endomorphism rings.