On Principal Ideal Multiplication Modules

被引：2

作者：

Azizi, A. ^{[1
]}

Jayaram, C. ^{[2
]}

机构：

[1] Shiraz Univ, Coll Sci, Shiraz, Iran

[2] Univ West Indies, Cave Hill, Barbados

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 03期

关键词：

LATTICES; RINGS;

D O I：

10.1007/s11253-017-1367-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative ring with identity and let M be a unitary R-module. A submodule N of M is said to be a multiple of M if N = rM for some r oee- R. If every submodule of M is a multiple of M, then M is said to be a principal ideal multiplication module. We characterize principal ideal multiplication modules and generalize some results from [A. Azizi, "Principal ideal multiplication modules," Algebra Colloq., 15, 637-648 (2008)].

引用

页码：337 / 347

页数：11

共 21 条

[1] Principal ideal multiplication modules [J].