M-sp-injective modules

Abstract

In this paper we study M-small principally injective (in short, M-sp-injective) module which is the generalization of M-principally injective module. We prove that if M is finite dimensional and quasi-sp-injective then its endomorphism ring S is semi-local ring. We characterize the M-sp-injective module with the help of epi-retractable modules. © 2012 World Scientific Publishing Company.