On e-small Compressible Modules

Document Type : Research Paper


1 Department of Mathematics, UFR SET, Iba Der Thiam University , Thies, Senegal.

2 Department of Mathematics, faculty of Science, Cheikh Anta Diop University, Dakar, Senegal.



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.