整环上Drazin逆的存在性(英文)  

The Existence of Drazin Inverses over Integral Domains

作　　者：俞耀明[1] 王国荣[2] 

机构地区：[1]上海师范大学教育科学学院,上海200234 [2]上海师范大学数理信息学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2003年第2期12-15,共4页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Supported by NSFC PrOject(19971057);Science and Technology Foundation of Shanghai and Shanghai Higher Eduction Project(00JC14057)

摘　　要：讨论了整环上Drazin逆的存在性,并且给出了一些充分必要条件,进一步讨论整环上Drazin逆的存在性,并且给出了另一个充分必要条件,即对某个正整数k,R(A^k)(+)N(B^k)=R^n。MANJUNATHA PRASAD K and others discussed the existence of Drazin inverses over integral domains and gave some sufficient and necessary conditions.In this paper,we further discuss the existence of Drazin inverses over integral domains and gain another sufficient and necessary condition,i.e.,R(Ak) ?N(Bk) = Rn for some positive integral k.

关 键 词：DRAZIN逆 正则矩阵 整环 

分 类 号：O151.21[理学—数学]