On the centroid of prime semirings

Authors : Hasret Yazarli, Mehmet Ali Öztürk

Pages : 577-584

Doi:10.3906/mat-1105-8

View : 12 | Download : 8

Publication Date : 9999-12-31

Article Type : Makaleler

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