NS-Primary Submodules

  • Iman A. Athab Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.
Keywords: nearly S-primary, nearly primary submodule, MN-primary submodule

Abstract

Let R be a commutative ring with identity and let Mbe a unitary R-module. We shall say that a proper submodule N of M is nearly S-primary (for short NS-primary), if whenever , , with  implies that either  or there exists a positive integer n, such that , where  is the Jacobson radical of M. In this paper we give some new results of NS-primary submodule. Moreover some characterizations of these classes of submodules are obtained.

Published
2018-03-04
How to Cite
AthabI. A. (2018). NS-Primary Submodules. Iraqi Journal of Science, 59(1B), 404-407. Retrieved from http://scbaghdad.edu.iq/eijs/index.php/eijs/article/view/236
Section
Mathematics