FULLY S-IDEMPOTENT MODULES

چکیده مقاله

Let R be a commutative ring with identity, let S be a multiplicatively closed subset of R, and let M be an R-module. A submodule N of M is said to be idempotent if N = (N: R M)²M. Also, M is said to be fully idempotent if every submodule of M is idempotent. The aim of this paper is to introduce the concept of fully S-idempotent modules as a generalization of fully idempotent modules and investigate some properties of this class of modules. © 2023,Khayyam Journal of Mathematics. All Rights Reserved.