Smarandache Idempotents in Certain Types of Group Rings

Authors

  • Parween Ali Hummadi College of Science Education, Salahaddin University, Erbil, Kurdistan Region, Iraq. Author
  • Shadan Abdulkadr Osman College of Science, Salahaddin University, Erbil, Kurdistan Region, Iraq. Author

DOI:

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

Keywords:

Idempotent, S-idempotent, Group ring, Algebraically closed field

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.

References

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Published

2009-06-06

How to Cite

Smarandache Idempotents in Certain Types of Group Rings. (2009). Journal of Zankoy Sulaimani - Part A, 13(1), 93-102. https://doi.org/10.17656/jzs.10215