| 整环上Drazin逆的存在性 |
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| 引用本文： | 俞耀明[],王国荣[].整环上Drazin逆的存在性[J].上海师范大学学报(自然科学版),2003,32(2):12-15. |
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| 作者姓名： | 俞耀明[] 王国荣[] |
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| 作者单位： | 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 |
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| 基金项目： | Supported by NSFC PrOject(19971057)，Science and Technology Foundation of Shanghai and Shanghai Higher Eduction Project(00JC14057) |
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| 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。
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| 关 键 词： | Drazin逆 正则矩阵 整环 |
The Existence of Drazin Inverses over Integral Domains |
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| Abstract.The Existence of Drazin Inverses over Integral Domains[J].Journal of Shanghai Normal University(Natural Sciences),2003,32(2):12-15. |
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| Authors: | Abstract |
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| Abstract: | 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. |
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| Keywords: | Drazin inverses regular matrices andintegral domains |
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