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Pseudo-prime radical submodule | ||
| Tikrit Journal of Pure Science | ||
| Article 1, Volume 17, Issue 2, 2012, Pages 249-251 | ||
| Author | ||
| Firas adel fawzi | ||
| Abstract | ||
| Let R be acommutative ring with identity ,and M be a unitary R-module .Aproper submodule N of M is called pseudo-prime submodule if whenever abm∈N for a,b∈R and m∈M ,then either Introduce pseudo-prime radical of asubmodule N as ageneralization of aprime –radical of asubmoudule N where a pseudo-prime radical of asubmodule N denoted by PP-radM (N) is define to the as the intersection of all pseudo prime submodule of M that contain N. also ,we Introduce the concept pseudo –prime radical submodule where aproper submodule N of M which satisfies PP-radM (N) = N is called pseudo –prime radical submodule ofM.We give some basic properties of these concepts. | ||
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