Essentially Quasi-Invertible Submodules and Essentially Quasi-Dedekind Modules

Authors

  • I.M-A Hadi
  • Th. Y. Ghawi

Keywords:

: Essentially quasi-invertible submodules , Essentially quasi-Dedekind Modules .

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 .

Downloads

Published

15-May-2017

Issue

Section

Mathematics

Publication Dates