Finite Hyperfields of Order n≤ 5

2020/04/15 by Liu, Ziqi
#Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2004.07241

Abstract

In this paper, the author introduces the concept and basic properties of finite (commutative) hyperfields. Also, the author shows that, up to isomorphism, there are exactly 2 hyperfields of order 2; 5 hyperfields of order 3; 7 hyperfields of order 4; 27 hyperfields of order 5. Those hyperfields could be first hand materials for those who are doing relevant researches.

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