| The Homomorphism and Isomorphism on Hypergroup |
| |
| 引用本文： | 钟育彬. The Homomorphism and Isomorphism on Hypergroup[J]. 数学季刊, 1997, 12(3): 7-14 |
| |
| 作者姓名： | 钟育彬 |
| |
| 作者单位： | Guangzhou Teacher's College，Inst. of Syst. Engingeering of Guangzhou City，510400 |
| |
| 摘 要： | 61.IntroductionThispapersupposesthatthe(G,')isagroup,inP,(G)HP(G)-{di},itisstiuplatedtheoperationasthefollowing:A.BH{a.blaeA,beB}.(1.1)ThenP,(G)isasemigroup.Iftheunempty@=P,(G)makesupagroupwith(1.l),then@iscalledthehypergroupofG,here'E'standsfortheunitelement,especially,wheneeEinG,wecallgasareguIarhypergroup,whencontraryelementsandcontrarysetsof@conformedtoeachother,wecallopasauniformhypergroup.Obviously,Eisasemi-subgroupofG.Whengisregular,Eisasemi-subgroupwithunitelement,When@isunif…
|
| 关 键 词： | 幂群 同态 同构 |
The Homomorphism and Isomorphism on Hypergroup |
| |
| Zhong Yubin. The Homomorphism and Isomorphism on Hypergroup[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(3): 7-14 |
| |
| Authors: | Zhong Yubin |
| |
| Abstract: | Basing on the papers from [1] to [4], this paper gives some further research,mainly solves the following problems:(1) It proved that several theorems of subgroup which have been raised to the hypergroup are still true.(2) It proved that the isomorphous relationship of the bottomgroups which guid to the hypergroup can still keep such relationship.(3) It proved that the basic isomorphous Theorem and the homogenous Theorem of the bottomgroup which raise to the hypergroup are still true.(4) It point out that when the isomorphous bottomgroups have been raised to the hypergroup,the conditions which form the isomorphism should be lessened. |
| |
| Keywords: | hypergroup homomorphism isomorphism regular hypergroup uniform hypergroup |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
