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
收藏
页码：67 / 77
页数：11
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