Prime Cyclic Rings

Meram Munirathnam; Dr. D. Bharathi

doi:https://doi.org/10.14445/22315373/IJMTT-V31P502

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 31 | Number 1 | Year 2016 | Article Id. IJMTT-V31P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V31P502

Prime Cyclic Rings

Meram Munirathnam, Dr. D. Bharathi

Abstract

Kleinfeld [1] proves that every prime cyclic ring where 2x=0 implies x=0 is commutative and associative that. In this Paper we improve on this result by showing that every prime cyclic ring is associative and commutative without assuming 2x=0 implies x=0.

Keywords

Cyclic Ring, Prime Ring, Semi-prime Ring, Associative Ring and Commutative Ring.

References

1. Kleinfeld, M. “Rings with x(yz)=y(zx)”, Comm.Algebra.13(1995), 5085 -5093.

Citation :

Meram Munirathnam, Dr. D. Bharathi, "Prime Cyclic Rings," International Journal of Mathematics Trends and Technology (IJMTT), vol. 31, no. 1, pp. 5-7, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V31P502