摘要
在循环群的研究中,整数加群和剩余类加群占有重要位置,文中对剩余类加群从结构、运算规律、性质等方面加以讨论研究,给出两个重要结论,从而将循环群中所有有限循环群的研究归结到对剩余类加群的研究上,并且两类循环群间是同态关系.
Additive group of integers and residue class additive group occupy important places in the study of cyclic group.This thesis discusses and studies residue class additive group in the respect of structure,operational law and property,and it gives two important conclusions.It indicates the study of all the finite cyclic groups in the cyclic groups can be included into the study of residue class additve groups,and the relation between the two types of cyclic groups is homomorphic.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2003年第3期169-171,共3页
Journal of Shenyang Normal University:Natural Science Edition
关键词
剩余类加群
循环群
商群
同构
additive group of surplus
group of cycles
group of quotients
isomorphism
