Smarandache Idempotents in Certain Types of Group Rings

Volume 13 , Issue 1 , January 2010 , Pages 93-102

Authors

Parween Ali Hummadi 1 ; Shadan Abdulkadr Osman 2

1 College of Science Education

2 College of Science2, Salahaddin University

DOI logo 10.17656/jzs.10215

Keywords

Abstract


In this paper we study S-idempotents of the group ring Z2G where G is a finite cyclic group of

order . We give a condition on such that every nonzero idempotent element of the group ring

Z2G is Smarandache idempotent and we find Smarandache idempotents of the group ring KG

where K is an algebraically closed field of characteristic 0 and is a finite cyclic group.

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