On Max-Modules
Main Article Content
Abstract
In this paper ,we introduce a concept of Max– module as follows: M is called a Max- module if ann N R is a maximal ideal of R, for each non– zero submodule N of M; In other words, M is a Max– module iff (0) is a *- submodule, where a proper submodule N of M is called a *- submodule if [ ] : N K R is a maximal ideal of R, for each submodule K contains N properly. In this paper, some properties and characterizations of max– modules and *- submodules are given. Also, various basic results a bout Max– modules are considered. Moreover, some relations between max- modules and other types of modules are considered.
Article Details
How to Cite
On Max-Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 24(2). https://jih.uobaghdad.edu.iq/index.php/j/article/view/758
Issue
Section
Mathematics
licenseTerms
How to Cite
On Max-Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 24(2). https://jih.uobaghdad.edu.iq/index.php/j/article/view/758