幂群结构的推广  

Promotions on Structures of Power Groups

作　　者：王开宝[1,2] 祝令江[1] 王莉[1] 姚炳学[1] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]聊城大学东昌学院,山东聊城252000

出　　处：《聊城大学学报（自然科学版）》2008年第2期55-56,共2页Journal of Liaocheng University:Natural Science Edition

基　　金：教育部科技研究重点项目(206089)

摘　　要：群是最重要、最基本的代数系统之一,各种数学结构的提升,带动了群的代数结构由论域向其幂集上的提升.文[1～3]李洪兴教授等首先提出了幂群的概念并得到一系列很有价值的成果,随之,文[4,5]对幂群的结构进一步进行研究.本文就幂群的结构进行了推广,然后在此基础上讨论了幂群的一些性质.The group is one of the most important and basic algebra systems. Algebra structures of groups are promoted from the domain to the power set with the promotions of various of mathematics structures. In papers [1-3],the concept of power groups is raised firstly by professor Li Hongxing and a series of very valuable achievements are obtained. Then,the structures of power groups are studied further. In this paper, the structures of power groups are promoted and in this foundation, some properties are discussed.

关 键 词：元素的核 元素的广核 元素的中心 

分 类 号：O152.3[理学—数学]