论文标题

订单的有限超级场$ n \ leq 5 $

Finite Hyperfields of Order $n\leq 5$

论文作者

Liu, Ziqi

论文摘要

在本文中,作者介绍了有限(交换)Hyperfields的概念和基本特性。另外,作者表明,在同构中,恰好有2个命令2的高领域。 5个命令3的Hyperfield; 7命令4的Hyperfields; 27命令5的Hyperfield。这些Hyperfields可能是从事相关研究的人的第一手材料。

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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