About DJPS    Editorial Board        Secretary of Journal    Events & News         

 

DJPS

Diyala Journal for Pure Science

Scientific Refereed Journal Published By College of Science - University of Diyala

 

Admin of Website

djps.16.01.508A

Diyala Journal for Pure Science DJPS

P- ISSN:2222-8373, E-ISSN:2518-9255

Volume 16, Issue 1 , January  2020

 

 

 

On Some Properties of Hollow-Lifting-Quasi-Discrete Modules

 

Hana I. Lafta

 

Year: 2020, Volume: 16, Issue: 1

 

Pages: 37-44 , DOI: https://dx.doi.org/10.24237/djps.16.01.508A 

 

Download :  

 

Abstract


 

A notion of the Hollow-Lifting-Quasi-Discrete modules can constitute avery important situation in the module theory. In this paper we will present a key role in some properties and characterizations of Hollow-Lifting-Quasi-Discrete Modules, also we study characterization the relation between lifting property and Hollow-Lifting-Quasi-Discrete Modules. We introduced and study the concept of Hollow-Lifting-Quasi-Discrete Modules a generalization of Hollow-Quasi-Discrete Modules. In this work, we introduce and study classes of concepts which are extremities of Hollow-lifting-Quasi-Discrete modules. We call an R-module M Hollow-Lifting-Quasi-Discrete, if every submodule N of M with  hollow-lifting module, there exists a stable direct summand K of M such that  in M. we have the following proper implication:

Hollow-Lifting → Hollow-Lifting-Discrete → Hollow-Lifting-Quasi-Discrete Module.

 

Keywords: Hollow-Quasi Module, Hollow Lifting-Discrete Module, Hollow-Lifting Module and Hollow-Lifting Quasi.

Copyright © 2017 Diyala Journal For Pure Science (DJPS) . All rights reserved
3:45