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
收藏
页码：125 / 139
页数：15
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