Graded Essential Extensions and Graded Injective Modules

摘要

In this paper we establish the relation between graded essential extensions of graded modules and injectivity of such modules. We relate the graded injective hull E_(gr) (M) of a graded module M with the graded essential extensions of M. We round off by establishing necessary and sufficient conditions for indecomposability of graded injective modules in terms of their graded injective hulls.