Smarandache Idempotents in Certain Types of Group Rings

Parween Ali Hummadi1, Shadan Abdulkadr Osman2

College of Science Education1, College of Science2, Salahaddin University  

DOI: https://doi.org/10.17656/jzs.10215

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.

Keywords: Idempotent, S-idempotent, group ring, algebraically closed field.

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