On S-multiplication modules

被引：26

作者：

Anderson, Dan D. ^{[1
]}

Arabaci, Tarik ^{[2
]}

Tekir, Unsal ^{[3
]}

Koc, Suat ^{[3
]}

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Istanbul Bilgi Univ, Dept Math, TR-34387 Istanbul, Turkey

[3] Marmara Univ, Dept Math, Istanbul, Turkey

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 08期

关键词：

multiplication module; prime submodule; S-multiplication module; S-prime submodule;

D O I：

10.1080/00927872.2020.1737873

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce S-multiplication modules which are a generalization of multiplication modules. Let M be an R-module and a multiplicatively closed subset. M is said to be an S-multiplication module if for each submodule N of M there exist and an ideal I of R such that Besides giving many properties of S-multiplication modules, we generalize some results on multiplication modules to S-multiplication modules. Also, we study S-prime submodules in S-multiplication modules. In particular, we generalize prime avoidance lemma for multiplication modules to S -multiplication modules. Furthermore, we characterize multiplication modules in terms of S-multiplication modules. Communicated by Toma Albu

引用

页码：3398 / 3407

页数：10

共 7 条

[1] IDEALIZATION OF A MODULE [J].