Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 645-651.doi: 10.1016/S0252-9602(12)60045-9

• Articles • Previous Articles     Next Articles

ON ALMOST PRIME SUBMODULES

Hani A. Khashan   

  1. Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
  • Received:2009-10-26 Revised:2011-03-20 Online:2012-03-20 Published:2012-03-20

Abstract:

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.

Key words: Prime submodules, weakly prime submodules, almost prime submodules, multiplication modules

CLC Number: 

  • 13C13
Trendmd