20Jan 2017

NEARLY QUASI PRIME SUBMODULES

  • Dept. of Mathematics, College of Science, University of Baghdad. Dept. of Mathematics, College of Science, Al-Mustansiriya University.
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Let R be a commutative ring with identity and M be a unitary of R-module. A proper submoduleNofM is called aquasi-prime if whenevera.b x?N ; a,b?R ,x?M, implies that either ax?N or bx?N. In this paper we say that N is a nearly quasi prime, if whenever abx?N ; a,b?R,x?M, implies that either ax?N+J(M)or bx?N+J(M), where J(M)is the Jacobson radical of M. Some of the properties of this concept will be investigated. Some characterizations of nearly quasi prime submodules will be given, and we show that under some assumptions quasi prime submodules and nearly quasi prime submodules are coincide.


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[Nuhad S. AL?Mothafar and Adwia J. Abdil AL ?khalik. (2017); NEARLY QUASI PRIME SUBMODULES Int. J. of Adv. Res. 5 (1). 170-180] (ISSN 2320-5407). www.journalijar.com


Nuhad Salim Al-Mothafar
Dept. of Mathematics, College of Science, University of Baghdad

DOI:


Article DOI: 10.21474/IJAR01/2734       DOI URL: http://dx.doi.org/10.21474/IJAR01/2734


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