On Weakly Prime Submodules
Main Article Content
Abstract
Let R be a commutative ring with unity and let M be a left R-module. We define a proper submodule N of M to be a weakly prime if whenever r  R, x  M, 0  r x  N implies x  N or r  (N:M). In fact this concept is a generalization of the concept weakly prime ideal, where a proper ideal P of R is called a weakly prime, if for all a, b  R, 0  a b  P implies a  P or b  P. Various properties of weakly prime submodules are considered.
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How to Cite
On Weakly Prime Submodules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 22(3). https://jih.uobaghdad.edu.iq/index.php/j/article/view/1215
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Mathematics
licenseTerms
How to Cite
On Weakly Prime Submodules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 22(3). https://jih.uobaghdad.edu.iq/index.php/j/article/view/1215