On Second Submodules

被引：8

作者：

Ceken, Secil ^{[1
]}

Alkan, Mustafa ^{[1
]}

机构：

[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey

来源：

NONCOMMUTATIVE RINGS AND THEIR APPLICATIONS | 2015年 / 634卷

关键词：

Second submodule; attached primes of a module; second radical of a module; hollow dimension; max property; DUAL NOTION; MODULES;

D O I：

10.1090/conm/634/12691

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a ring with identity and M be a unital right R-module. A nonzero submodule N of M is called a second submodule if N and all its nonzero homomorphic images have the same annihilator in R. The second radical of a module M is defined to be the sum of all second submodules of M. In this paper we give some results concerning second submodules and attached primes of a module and we study the second radical of a module in some cases.

引用

页码：67 / 77

页数：11

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