On e-Small Submodules

Abstract

Let M be an R-module, where R is a commutative ring with unity. A submodule N of M is called e-small (denoted by N e  M) if N + K = M, where K e  M implies K = M. We give many properties related with this type of submodules.

Keywords

• Small submodule, -small submodule, e-small submodule, and e-coclosed submodule.