ON ALMOST PRIME SUBMODULES

被引：17
|
作者：
Khashan, Hani A. [1 ]
机构：
[1] Al Al Bayt Univ, Dept Math, Mafraq, Jordan
来源：
ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 02期
关键词：
Prime submodules; weakly prime submodules; almost prime submodules; multiplication modules; MULTIPLICATION; MODULES;
D O I：
10.1016/S0252-9602(12)60045-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some characterizations of them, especially for (finitely generated faithful) multiplication modules.
引用
收藏
页码：645 / 651
页数：7
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