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On Weakly Prime Submodules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 22, Issue 3, 2009, Pages 183-190 | ||
| Author | ||
| I. M.A.Hadi | ||
| 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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