Finite Hyperfields of Order $n\leq 5$
Rings and Algebras
2020-10-13 v5 Commutative Algebra
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.
Cite
@article{arxiv.2004.07241,
title = {Finite Hyperfields of Order $n\leq 5$},
author = {Ziqi Liu},
journal= {arXiv preprint arXiv:2004.07241},
year = {2020}
}
Comments
22 pages