On Slightly Compressible-Injective Modules

Nguyen Dang Hoa Nghiem, Phatsarapa Janmuang, Samruam Baupradist, Ronnason Chinram

Abstract

In this paper, we introduce the concept of slightly compressible-injective modules, following this, a right R-module N is called an M-slightly compressible-injective module, if every R-homomorphism from a non-zero M-slightly compressible submodule of M to N can be extended to M. We give some characterizations and properties of slightly compressible-injective modules.

Keywords

M-slightly compressible modules; M-slightly compressible-injective modules; quasi-slightly compressible-injective modules

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