Smarandache idempotents in certain types of groups rings

In this paper we study S-idempotents of the group ring $\mathbb{Z}$_2G where G is a finite cyclic group of order n. We give a condition on n such that every nonzero idempotent element of the group ring $\mathbb{Z}$_2G is Smarandache idempotent and we find Smarandache idempotents of the group ring KG, where K is an algebraically closed field of characteristic 0 and G is a finite cyclic group.