关于环中Primely Drazin逆  

On Primely Drazin Inverse in Rings

作　　者：李颉琛 陈焕艮[1] LI Jiechen;CHEN Huanyin(School of Science,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学理学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2020年第4期421-426,共6页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：Supported by the Natural Science Foundation of Zhejiang Province(LY17A010018).

摘　　要：称环R中的元素a有primely Drazin逆的,如果存在b满足bab=b,b∈comm 2(a)及a-a 2b∈P(R),这里P(R)为R的素根.文章研究了环中Drazin逆的基本性质,证明了Jacobson引理和Cline公式在primely Drazin逆中也适用.An element a∈R has primely Drazin inverse in case there is an element b∈R satisfying bab=b,b∈comm 2(a)and a-a 2b∈P(R),where P(R)is the prime radical of R.The elementary properties of such Drazin inverse in rings are studied.And Jacobson's lemma and Cline's formula are proved to be applicable for primely Drazin inverse.

关 键 词：DRAZIN逆 Jacobson引理 Cline公式 Prime极性 

分 类 号：O153[理学—数学]