Article Title

On the centroid of prime semirings

Authors

HASRET YAZARLI
MEHMET ALİ ÖZTÜRK

DOI

10.3906/mat-1105-8

Abstract

We define and study the extended centroid of a prime semiring. We show that the extended centroid is a semifield and give some properties of the centroid of a right multiplicatively cancellable prime semiring.

Keywords

Semiring, prime ideal, prime semiring, quotient semiring

First Page

577

Last Page

584

Recommended Citation

YAZARLI, HASRET and ÖZTÜRK, MEHMET ALİ (2013) "On the centroid of prime semirings," Turkish Journal of Mathematics: Vol. 37: No. 4, Article 4. https://doi.org/10.3906/mat-1105-8
Available at: https://journals.tubitak.gov.tr/math/vol37/iss4/4