On Max-Modules

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A. J. Abdul– Al– Kalik


   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.  

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How to Cite
ABDUL– AL– KALIK, A. J.. On Max-Modules. Ibn AL- Haitham Journal For Pure and Applied Science, [S.l.], v. 24, n. 2, may 2017. ISSN 2521-3407. Available at: <http://jih.uobaghdad.edu.iq/index.php/j/article/view/758>. Date accessed: 31 may 2020.