@article {
author = {Farshadifar, Faranak},
title = {Fully $S$-idempotent modules},
journal = {Khayyam Journal of Mathematics},
volume = {9},
number = {1},
pages = {153-161},
year = {2023},
publisher = {Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2022.362523.2664},
abstract = {Let $R$ be a commutative ring with identity, $S$ be a multiplicatively closed subset of $R$, and $M$ be an $R$-module. A submodule $N$ of $M$ is said to be \emph{idempotent} if $N=(N:_RM)^2M$. Also, $M$ is said to be \emph{fully idempotent} if every submodule of $M$ is idempotent. The aim of this paper is to introduce the notion of fully $S$-idempotent modules as a generalization of fully idempotent modules and investigate some properties of this class of modules.},
keywords = {Idempotent submodule,Fully idempotent module,Multiplicatively closed subset,$S$-Idempotent submodule,Fully $S$-idempotent module},
url = {https://www.kjm-math.org/article_164491.html},
eprint = {https://www.kjm-math.org/article_164491_aa3a414cd8221acda43f8775017db403.pdf}
}