NPQ-INJECTIVE MODULES

Abstract

Let be a right -module. A right -module is called nonessential principally -injective (briefly, -injective) if, for each nonessential principal submodule of any -homomorphism from to can be extended to an -homomorphism from tois called nonessential principally quasi –injective (briefly, -injective) if, it is -injective. In this paper, we give some characterizations and properties of -injective modules.