On the centroid of prime semirings

Authors: HASRET YAZARLI, MEHMET ALİ ÖZTÜRK

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

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