Vol. 4 (03) pp. 1980-1985

QUASI-SEMIPRIME SUBMODULES.

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  • Department of Mathematics, College of Science, Baghdad University,Baghdad,Iraq.
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Abstract

Let R be a commutative ring with unity and let N be a submodule of anon-zero leftR-moduleM, N is called semiprime if whenever〖 r〗^n x∈N ,r∈R,x∈M,n∈Z^+, implies rx∈N. In this paper we say that N is quasi- semiprimeiff[N:M] is a semiprime ideal of R where [N:M] ={r∈R:rM⊆N}. We give many results of this type of submodules.

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How to Cite This Article

Nuhad Salim Al-Mothafar and Mohammed B. H. Alhakeem. (2016); QUASI-SEMIPRIME SUBMODULES., Int. J. of Adv. Res., 4 (03), 1980-1985, ISSN 2320-5407.

Corresponding Author

Nuhad Salim Al-Mothafar

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