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On Max-Modules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 24, Issue 2, 2011, Pages 257-265 | ||
| Authors | ||
| ; A. J. Abdul | ||
| Abstract | ||
| In this paper ,we introduce a concept of Max– module as follows: M is called a Max- module if 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 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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