Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules
Main Article Content
Abstract
Let R be a commutative ring with identity . In this paper we study the concepts of essentially quasi-invertible submodules and essentially quasi-Dedekind modules as a generalization of quasi-invertible submodules and quasi-Dedekind modules . Among the results that we obtain is the following : M is an essentially quasi-Dedekind module if and only if M is aK-nonsingular module,where a module M is K-nonsingular if, for each , Kerf ≤e M implies f = 0 .
Article Details
How to Cite
Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 24(3). https://jih.uobaghdad.edu.iq/index.php/j/article/view/747
Issue
Section
Mathematics
licenseTerms
How to Cite
Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules. (2017). Ibn AL-Haitham Journal For Pure and Applied Sciences, 24(3). https://jih.uobaghdad.edu.iq/index.php/j/article/view/747