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.
Semiring, prime ideal, prime semiring, quotient semiring
YAZARLI, HASRET and ÖZTÜRK, MEHMET ALİ
"On the centroid of prime semirings,"
Turkish Journal of Mathematics: Vol. 37:
4, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol37/iss4/4