非Armendariz环的最小阶  

The Least Order of Non-Armendariz Ring

作　　者：何建伟[1] 邵海琴[1] 郭莉琴[1] 王力梅[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741001

出　　处：《四川理工学院学报（自然科学版）》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)

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

关 键 词：有限环 非Armendariz环 最小阶 

分 类 号：O153.3[理学—数学]