Classification of Krasner Hyperfields of Order 4  

作　　者：Mahdeyeh IRANMANESH Morteza JAFARPOUR Hossien AGHABOZORGI Jian Ming ZHAN 

机构地区：[1]Department of Mathematics,Vali-e-Asr University of Rafsanjan,Rafsanjan,Iran [2]Department of Mathematics,Hubei University for Nationalities,Enshi 445000,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2020年第8期889-902,共14页数学学报（英文版）

摘　　要：In this paper,first we introduce n-polygroups and characterize 2-polygroups of order 4 up to isomorphism.Then using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner hyperfield of order 4.Moreover,we propose a hyperfield of order 4 which is not as a quotient hyperfield F/G.Finally,some programs written in MATLAB which are based on obtained results compute the number of polygroups,weak polygroups and Krasner hyperfields of order4 up to isomorphism.

关 键 词：(semi)hypergroup n-polygroup Krasner hyperfield ISOMORPHISM 

分 类 号：O152.7[理学—数学]