Conference Portal, 2018 International Conference on Pure and Applied Science

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Weak Idempotent Elements
Rebin M. Hassan, Parween A. Hummadi

##manager.scheduler.building##: Presidency Building Conference Auditorium
Date: 2018-04-24 02:10 PM – 03:30 PM
Last modified: 2018-08-16


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 2018

DOI: 10.14500/icpas2018.pma94


Idempotent element; Nilpotent element; Ring; Weak idempotent element

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