Title of article :
On the centroid of prime semirings
Author/Authors :
YAZARLI, Hasret Cumhuriyet University - Faculty of Science - Department of Mathematics, Turkey , OZTURK, Mehmet Ali Adıyaman University - Faculty of Arts and Sciences - Department of Mathematics, Turkey
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
