Journals / Turkish Journal of Mathematics / 2013 / Cilt: 37 - Sayı: 4

On the centroid of prime semirings

Pages
577–584
DOI
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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.

Özet

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