Record Details

Weak Idempotent Elements

2018 International Conference on Pure and Applied Science

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Title Weak Idempotent Elements
 
Creator Rebin M. Hassan; Department of Mathematics, College of Basic Education, University of Raparin, Kurdistan Region
Parween A. Hummadi; Department of Mathematics, College of Education, Salahaddin University, Kurdistan Region
 
Subject Mathematics
Idempotent element; Nilpotent element; Ring; Weak idempotent element
 
Description In this work we introduce the concept of weak idempotent element as a generalization of the concept of idempotent element and to investigate  weak idempotents in and in some type of group rings. It is shown that if n is  square free integer, then every element of is weak idempotent. Characterization of a weak idempotent in where G is a cyclic group of order 2 is given. Also it is proved that an element of where G is a cyclic group of order is weak idempotent if and only if it has an odd number of summands. Published 01 August 2018DOI: 10.14500/icpas2018.pma94http://dx.doi.org/10.14500/icpas2018.pma94
 
Publisher Pure and Applied Science
 
Contributor University of Raparin and University of Salahaddin
 
Date 2018-03-28 17:35:01
 
Type Peer-reviewed Paper
 
Format application/pdf
 
Identifier http://conferences.koyauniversity.org/index.php/pas/2018/paper/view/94
 
Source Pure and Applied Science; 2018 International Conference on Pure and Applied Science
 
Language en
 
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