ON STRONGLY PRIME SUBMODULES

被引：1

作者：

Azizi, Abdulrasool ^{[1
]}

机构：

[1] Shiraz Univ, Coll Sci, Dept Math, Shiraz 7145744776, Iran

来源：

MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 01期

关键词：

I-maximal submodule; prime submodule; strongly prime submodule; strongly semiprime submodule; RADICAL FORMULA; MODULES;

D O I：

10.18514/MMN.2018.1670

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring with identity and M an R-module. A proper submodule N of M is called strongly prime [resp. strongly semiprime], if ((N + Rx): M)y & SURE; N [resp. ((N + Rx): M)x subset of N] for x,y is an element of M implies that x is an element of N or y is an element of N [resp. x is an element of N]. Strongly prime and strongly semiprime submodules are studied, in this paper.

引用

页码：125 / 139

页数：15

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