摘要
本文从模n的剩余类环n中一类特殊元素———幂等元出发,充分运用同余关系的运算,阐明幂等元的存在与其确定方法,并由给定整数构造以该整数为幂等元的环中的乘法群,揭示了n及其乘法群之间的一个内在联系.
This is a short teaching notes and discussion on the idempotents of the Ring of integers modulo n, that is n, is being given. In this notes, the relation between Ring and the Group embedded inside it show how the idempotents can be explored and how the idempotents make up a multiplicative Group of a Ring.
出处
《广西民族大学学报（自然科学版）》
CAS
2002年第S1期47-49,共3页
Journal of Guangxi Minzu University ：Natural Science Edition
关键词
模n的剩余类环
乘法群
幂等元
单位元
Residue Ring of modularn
Multiplicative Group
idempotent
