Title of article :
Min (Max)-CS Modules
Author/Authors :
Hadi, I. M. A. University of Baghdad - College of Ibn-Al-Haitham - Department of Mathematics, Iraq , Majeed, R . N. University of Baghdad - College of Ibn-Al-Haitham - Department of Mathematics, Iraq
Abstract :
In this paper, we give a comprehensive study of min (max)-CS modules such as a closed submodule of min-CS module is min-CS. Amongst other results we show that a direct summand of min (max)-CS module is min (max)-CS module. One of interested theorems in this paper is, if R is a nonsingular ring then R is a max-CS ring if and only if R is a min-CS ring.
Keywords :
CS , module , min , CS module , max , CS module , uniform , CS module.
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
Journal title :
Ibn Alhaitham Journal For Pure and Applied Science
