Weakly quasi-prime radical of submodules | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 19, Issue 5, August 2014, Pages 149-152 | ||
| Authors | ||
| Hairan Ibraheem Faris; Nada Jasim Mohammad Al-Obaidy | ||
| Abstract | ||
| Abstract: Let R be acommutative ring with identity, and M be a unitary R-module. In this paper we introduce the concept weakly quasi-prime radical of submodules N as a generalization of a prime radical of submodule N (for short, WqpradM(N)) is define as the intersection of all weakly quasi-prime submodules ofM which contain N. Also, we introduce the concept weakly quasi-prime radical submodule, where a proper submodule N of an R-module M which satisfies the property WqpradM (N)=N is called a weakly quasi-prime radical submodule of M. Many properties of these concepts are given | ||
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