| 态射的Drazin逆 |
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| 引用本文： | 江声远.态射的Drazin逆[J].数学学报,1996,39(6). |
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| 作者姓名： | 江声远 |
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| 作者单位： | 江西师范大学数学系 |
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| 摘 要： | 本文研究范畴中态射的Ｄｒａｚｉｎ逆．给出了一般范畴中态射的｛１ｍ，２，５｝逆的一个等价刻划．在Ａｂｅｌ范畴中，建立指数与Ｄｒａｚｉｎ逆的概念，证明了有Ｄｒａｚｉｎ逆的态射必有柱心－幂零分解．
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| 关 键 词： | 范畴，Abel范畴，Drazin－逆，柱心－幂零分解 |
| 收稿时间： | 1995-2-21 |
| 修稿时间： | 1995-7-18 |
The Drazin Inverses of Morphisms |
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| Jiang Shengyuan.The Drazin Inverses of Morphisms[J].Acta Mathematica Sinica,1996,39(6). |
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| Authors: | Jiang Shengyuan |
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| Institution: | Jiang Shengyuan(Department of Mathematics,Jiangxi Normal University, Nanchang 330027,China) |
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| Abstract: | In this paper we establish the concepts of index and Drazin inverse for morphisms in an abelian category, prove that the morphisms for which the Drazin inverse edests must have core-nilpotent decomposition and give an equivalence characterization of the Drazin inverse. |
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| Keywords: | Category Abelian categories The Drazin inverse Core-nilpotent decomposition |
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