On e-small Compressible Modules

Let R be a commutative ring with identity and let M be an (left) unitary R-module. In this paper, we introduce a detail and study the concept of e-small compressible as a generalization of the compressible module, and give some of their properties, characterizations, and examples. On the other hand, we study the relations between e-small compressible modules and some classes of modules.

Keywords:

e-small submodules , compressible modules , e-small compressible modules