摘要
研究了模n剩余类环的理想的结构,给出了模n剩余类环的理想作成极大理想和素理想的条件,并通过n来讨论理想的结构,再推广得出商环是域或是含零因子无单位元的环的条件。
In this paper, we will study the idealistic structure of integers mod n, give the equivalent conditions of maximal ideal and prime ideals and discuss the idealistic structure through n. Finally we will give the condition of a ring being a field or containing a zero factors without identity.
出处
《佛山科学技术学院学报（自然科学版）》
CAS
2008年第3期9-11,共3页
Journal of Foshan University(Natural Science Edition)
关键词
剩余类环
理想
极大理想
素理想
integers mod n
ideal
maximal ideal
prime ideal
