素环上幂零导子的零化幂  

The Annihilating Nilpotency of a Nilpotent Derivation on Prime Rings

作　　者：王力梅[1] 何建伟[1] 

机构地区：[1]天水师范学院数学与统计学院,甘肃天水741000

出　　处：《西安文理学院学报（自然科学版）》2010年第2期20-22,共3页Journal of Xi’an University(Natural Science Edition)

基　　金：天水师范学院中青年教师科研资助项目(TSB0811)

摘　　要：介绍素环R的零化幂mδ(R),并且讨论了特征为p(p 2)的素环的零化幂.参考相关文献根据ps和b在R的扩展形心C上的极小多项式的次数计算,得到素环R的零化幂mδ(R)为lps+l,从而使得幂零导子具有更简单的形式.To introduce the annihilating nilpotency of prime ring R and calculate it when the character of the ring Ris a prime numberP. By referring relative reference, the annihilating nilpotency of prime ring Ris calculated according to p3 and the degree of the minimum polynomial of b overC, the annihilating nilpotency of prime ring Ris^lp3＋1 ,A simple form of a nilpotent derivation is introduced.

关 键 词：素环 幂零导子 零化幂 

分 类 号：O153.3[理学—数学]