31Aug 2015

NEARLY PRIMARY SUBMODULES

  • Departmant of Mathematics,College of Science, University.Baghdad,Iraq
  • Abstract
  • Keywords
  • Cite This Article as
  • Corresponding Author

Let R be a commutative ring with unity and let N be a submodule of a nonzero left R-module M, N is called primary if whenever rx?N ,r?R,x?M , implies that either x?N or r??([N:M] ). In this paper we say that N is nearly primary, if whenever rx?N ,r?R,x?M, , implies that either x?N+J(M) or r??([N+J(M):M] ) , (in short N.primary),where J(M) is the Jacobson radical of M. We give many results of this type of submodules.

[Nuhad Salim Al-Mothafar, Mohammed B.H.Alhakeem (2015); NEARLY PRIMARY SUBMODULES Int. J. of Adv. Res. 3 (Aug). 497-503] (ISSN 2320-5407). www.journalijar.com

Nuhad Salim Al-Mothafar

Download Full Paper

Download PDF No. of Downloads: 50 | No. of Views: 93