University of Guilan Journal of Algebra and Related Topics 2345-3931 9 2 2021 12 01 On e-small Compressible Modules 69 81 5186 10.22124/jart.2021.19462.1269 EN P. Ch. Diop Department of Mathematics, UFR SET, Iba Der Thiam University , Thies, Senegal. M. L. Dia Department of Mathematics, faculty of Science, Cheikh Anta Diop University, Dakar, Senegal. Journal Article 2021 04 28 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. e-small submodules compressible modules e-small compressible modules https://jart.guilan.ac.ir/article_5186_78d4b513279bb0d6387fa5a4416bcbba.pdf