整环上Drazin逆的存在性(英文)

The Existence of Drazin Inverses over Integral Domains

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.