A generalization of ECS- modules via c-closed submodules

Abstract

In this paper we present a new generalization of CS, ECS and CCLS- modules. If each “cec-closed submodule “in a module M is a “direct summand“, then M is referred to be CECS. It was demonstrated that every ECS and CCLS-module is generalized by the CECS property. We look at modules M that allow one to lift all homomorphism from a cec-closed submodule of M to M. Despite this, certain modules have some characteristics in common with CECS modules.