Smarandache idempotents in certain types of groups rings
Commutative Algebra
2012-01-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1201.2609,
title = {Smarandache idempotents in certain types of groups rings},
author = {Parween Ali Hummadi and Shadan Abdulkadr Osman},
journal= {arXiv preprint arXiv:1201.2609},
year = {2012}
}
Comments
8 pages