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.

DOI

10.3906/mat-1105-8

Keywords

Semiring, prime ideal, prime semiring, quotient semiring

First Page

577

Last Page

584

Recommended Citation

YAZARLI, H, & ÖZTÜRK, M. A (2013). On the centroid of prime semirings. Turkish Journal of Mathematics 37 (4): 577-584. https://doi.org/10.3906/mat-1105-8

Download