各种幂群的结构与同态同构关系  

Structures and Relationships of Homomorphisms and Isomorphisms on Each Hypergroups

作　　者：张振良[1] 

机构地区：[1]昆明理工大学基础部

出　　处：《昆明理工大学学报（理工版）》1998年第2期92-99,112,共9页Journal of Kunming University of Science and Technology(Natural Science Edition)

基　　金：云南省应用基础基金

摘　　要：文［１］首次提出了幂群的概念，文［２］，［３］分别定义了正规幂群，一致幂群．较系统地研究了各种幂群的结构．从文中可以清楚地看出，从幂群、正规幂群、一致幂群到商群的演变过程．最后讨论了各种幂群的同态与同构关系．In the Refthe concept of hypergroup has been raised firstly;in the Refand Rdf,the concepts of normal hypergroup and uniform hypergroup have been described respectively.In this paper the structures of each hypergroups will be considered systematically,Thus we can see clearly the evolutions from hy pergroup to guotient group.Finally,we will discuss the homomorphisms and Isomorphisms of each hypergroups.

关 键 词：幂群 正规幂群 一致幂群 商群 同态 同构 

分 类 号：O152[理学—数学]