-Prime Submodules | ||
| Ibn Al-Haitham Journal For Pure And Applied Science | ||
| Article 1, Volume 29, Issue 2, August 2016, Pages 282-291 | ||
| Authors | ||
| Nuhad S. AL-Mothafar; Adwia J. Abdil .Al-Khalik | ||
| Abstract | ||
| Let R be a commutative ring with identity and M be an unitary R-module. Let (M) be the set of all submodules of M, and : (M) (M) {} be a function. We say that a proper submodule P of M is -prime if for each r R and x M, if rx P, then either x P + (P) or r M P + (P) . Some of the properties of this concept will be investigated. Some characterizations of -prime submodules will be given, and we show that under some assumptions prime submodules and -prime submodules are coincide. | ||
| Keywords | ||
| prime submodule; weakly prime submodules; prime submodules | ||
|
Statistics Article View: 15 PDF Download: 2 |
||