Generalized Centroid of Hyperrings

In this paper, the notion of generalized centroid is applied to hyperrings. We show that the generalized centroid C of a semiprime hyperring R is a regular hyperring. Also, we show that if C is a hyperfield, then R is a prime hyperring.

Bibliographic Details
Main Authors: Yazarli Hasret, Davvaz Bijan, Yilmaz Damla
Format: Article
Language:English
Published: University of Zielona Góra 2022-03-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1387