Annsemimaximal and Coannsemimaximal Modules

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Published: May 14, 2017
Keywords:
: Annsemimaximal module, semisimple module, semisimple ring, semiprime module, max-module, uniform module, Z-regular module, F-regular module, Artinian module, flat module, coprime module, coannsemimaximal module.

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I. M.A. Hadi
, H. Y. Khalaf

Abstract

        Some authors studied modules with annihilator of every nonzero submodule is prime, primary or maximal. In this paper, we introduce and study annsemimaximal and coannsemimaximal modules, where an R-module M is called annsemimaximal (resp. coannsemimaximal) if annRN (resp. ) is semimaximal ideal of R for each nonzero submodule N of M.

Article Details

How to Cite
Annsemimaximal and Coannsemimaximal Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 24(3). https://jih.uobaghdad.edu.iq/index.php/j/article/view/725
Issue
Vol. 24 No. 3 (2011)
Section
Mathematics
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How to Cite

Annsemimaximal and Coannsemimaximal Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 24(3). https://jih.uobaghdad.edu.iq/index.php/j/article/view/725

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