On Primary and Classical Primary Submodules

被引：0

作者：

Naderi, Mohammad Hasan ^{[1
]}

Jahani-Nezhad, Reza ^{[2
]}

机构：

[1] Univ Qom, Dept Math, Fac Sci, Qom, Iran

[2] Univ Kashan, Dept Math, Fac Sci, Kashan, Iran

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2018年 / 42卷 / 03期

关键词：

Primary; Classical primary; Noetherian;

D O I：

暂无

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 be an R-module. In this paper some properties of primary and classical primary submodules will be investigated. It is shown that if F is a faithfully flat R-module, then Q is a primary submodule of M if and only if F circle times Q is a primary submodule of F circle times M. Also some characterization of classical primary submodules are given. Furthermore, the existence of (minimal) primary submodules containing classical primary submodules are investigated.

引用

页码：401 / 410

页数：10

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