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

On the centroid of prime semirings

Sayfa
577–584
DOI
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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.

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.

Anahtar kelimeler: Semiring, prime ideal, prime semiring, quotient semiring