Acta mathematica scientia, Series B >
ON ALMOST PRIME SUBMODULES
Received date: 2009-10-26
Revised date: 2011-03-20
Online published: 2012-03-20
In this article, we define almost prime submodules as a new generalization of prime and weakly prime submodules of unitary modules over a commutative ring with identity. We study some basic properties of almost prime submodules and give some char-acterizations of them, especially for (finitely generated faithful) multiplication modules.
Hani A. Khashan . ON ALMOST PRIME SUBMODULES[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 645 -651 . DOI: 10.1016/S0252-9602(12)60045-9
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