á´ª-Prime Submodules

Main Article Content

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 ï¤(M) be the set of all submodules of M, and ï¹: ï¤(M)  ï¤(M)  {ï¦} be a function. We say that a proper submodule P of M is ï¹-prime if for each r  R and x  M, if rx  P, then either x  P + ï¹(P) or r M ïƒ P + ï¹(P) . Some of the properties of this concept will be investigated. Some characterizations of ï¹-prime submodules will be given, and we show that under some assumptions prime submodules and ï¹-prime submodules are coincide. 

Article Details

How to Cite
[1]
AL-Mothafar, N.S. and Abdil .Al-Khalik, A.J. 2017. á´ª-Prime Submodules. Ibn AL-Haitham Journal For Pure and Applied Sciences. 29, 2 (Mar. 2017), 282–291.
Section
Mathematics

Publication Dates