Classification of Krasner Hyperfields of Order 4

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

作者机构：Department of MathematicsVali-e-Asr University of RafsanjanRafsanjanIran Department of MathematicsHubei University for NationalitiesEnshi 445000P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2020年第36卷第8期

页      面：889-902页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：(semi)hypergroup n-polygroup Krasner hyperfield isomorphism 

摘      要：In this paper,first we introduce n-polygroups and characterize 2-polygroups of order 4 up to *** using 2-polygroups we introduce 2-Krasner hyperfields and we show that there exactly exists one 2-Krasner hyperfield of order ***,we propose a hyperfield of order 4 which is not as a quotient hyperfield F/***,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.