Title of article :
On Purely –Extending Modules
Author/Authors :
Al-Bahrani, B. H. University of Baghdad - College of Science - Department of Mathematics, Iraq
Abstract :
In this note we consider a generalization of the notion of a purely extending modules, defined using y– closed submodules. We show that a ring R is purely y – extending if and only if every cyclic nonsingular R – module is flat. In particular every nonsingular purely y extending ring is principal flat
Keywords :
Pure submodule , y – closed submodule , Extending modules
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
