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
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