Generalized Centroid of Hyperrings

Abstract

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.

Keywords

• hyperring
• semiprime hyperring
• generalized centroid
• regular hyperring
• 20n20
• 16y20