This article is cited in 5 papers

RESEARCH ARTICLE

$S$-second submodules of a module

F. Farshadifar

Department of Mathematics, Farhangian University, Tehran, Iran

Abstract: Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. The main purpose of this paper is to introduce and study the notion of $S$-second submodules of an $R$-module $M$ as a generalization of second submodules of $M$.

Keywords: second submodule, $S$-second submodule, $S$-cotorsion-free module, simple module.

MSC: 13C13, 13C05, 13A15, 16D60, 13H15

Received: 15.08.2019
Revised: 25.01.2020

Language: English

DOI: 10.12958/adm1437