Smarandache idempotents in certain types of groups rings

Details Smarandache idempotents in certain types of groups rings Smarandache idempotents in certain types of groups rings

2012-01-12

arxiv.org/abs/1201.2609v1

Journal of Zankoy Sulaimani, 2010, 13(1) Part A

Mathematics

Commutative Algebra

8 pages

Scientific paper

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.

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