On Cancellation Modules

Volume 22 , Issue 2 , December 2020 , Pages 163-172

Authors

Adil Kadir Jabbar 1 ; Dana Jamal Saeed 2

1 Department of Mathematics, College of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq

2 Directorate of Education of Sulaimani, Iraq

DOI logo 10.17656/jzs.10818

Keywords

Abstract

In this paper, the concept of cancellation modules is introduced, where  is a prime ideal of a commutative ring  with identity, also the effect of localization on cancellation modules is studied and some properties of this type of modules are given, furthermore some conditions are given which make cancellation modules as a cancellation and conversely. Also, the effect of ascending chain conditions and descending chain conditions on the cancellation modules are studied and different characterizations of this type of cancellation modules are given. 

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  • Published at20 December 2020

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