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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Original Article

Kyungpook Mathematical Journal 2015; 55(4): 871-883

Published online December 23, 2015

Copyright © Kyungpook Mathematical Journal.

On Divisorial Submodules

Ahmad Yousefian Darani1, Mahdi Rahmatinia2

1,2Department of Mathematics and Applications, University of Mohaghegh Ardabili, P. O. Box 179, Ardabil, Iran

Abstract

This paper is devoted to study the divisorial submodules. We get some equivalent conditions for a submodule to be a divisorial submodule. Also we get equivalent conditions for $(Ncap L)^{-1}$ to be a ring, where $N,L$ are submodules of a module $M$.

Keywords: divisorial submodule, prime submodule, radical submodule, multiplication module