摘要
利用有限环的同构分类,以及两个判断Armendariz环的充分条件,讨论了非Armendariz环的最小阶数,最后得出,交换的非Armendariz环的阶数最小为4,非交换的非Armendariz环的阶数最小为8,并给出了这些最小阶数对应环的构造。
According to the isomorphism classification of finite ring, and two sufficient conditions for deciding Armen- dariz ring, the least order of non-Armendariz ring is studied. ring is four, the least order of non-Armendariz ring is eight rings that have the least orders are presented. Then it can be concluded that the least order of non-Armendariz when the ring is commutative. Finally, the structures of these
出处
《四川理工学院学报（自然科学版）》
CAS
2014年第1期92-93,共2页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
天水师范学院中青年教师科研资助项目(4012012010005)
