Geodesic
Generalized Centroid of Hyperrings
Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 5-16

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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 
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Yazarli, Hasret; Davvaz, Bijan; Yilmaz, Damla. Generalized Centroid of Hyperrings. Discussiones Mathematicae. General Algebra and Applications, Tome 42 (2022) no. 1, pp. 5-16. http://geodesic.mathdoc.fr/item/DMGAA_2022_42_1_a0/