摘要
由集合S上的一一变换构成的变换群,已是一类很熟悉的对象,该文将讨论集合S的一般的变换形成群的构造和条件,并指明在通常的意义下,变换群只是这种群的一种特例。
It is well known that the groups of trans-formations consisting of some or all bijective transformations on the set s were the important kinds of groups. In this paper,the construction and condition of the groups formed by general transfomations on the set s are discussed,and it is showed that the groups of transformations,in general, is just the special case of it.
出处
《广西师院学报(自然科学版)》
1999年第1期33-37,共5页
Journal of Guangxi Teachers College(Natural Science Edition)
关键词
导出变换
等价关系
分类
变换群
集合
Transformation
Transformation induced
Equivalence relation
Partition.