| 具有广义分解的态射的广义逆 |
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| 引用本文： | 陈军,陈建龙.具有广义分解的态射的广义逆[J].数学学报,2001,44(5):909-916. |
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| 作者姓名： | 陈军 陈建龙 |
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| 作者单位： | 东南大学应用数学系 |
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| 基金项目： | 国家自然科学基金资助项目(19701008) |
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| 摘 要： | 本文给出了预加范畴中态射的广义分解的概念，并研究了具有广义分解的态射的｛１，ｉ｝－逆，Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ逆存在的条件及其表达式，得到了态射的群逆及Ｄｒａｚｉｎ逆存在的充要条件，推广了具有泛分解的态射的广义逆的相应结果．
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| 关 键 词： | 预加范畴 态射 Moore-Penrose逆 Drazin逆 群逆 |
| 文章编号： | 0583-1431(2001)05-0909-08 |
| 修稿时间： | 1999年12月24 |
On Generalized Inverses of Morphisms with Generalized Factorization |
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| CHEN Jun,CHEN Jian Long.On Generalized Inverses of Morphisms with Generalized Factorization[J].Acta Mathematica Sinica,2001,44(5):909-916. |
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| Authors: | CHEN Jun CHEN Jian Long |
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| Institution: | CHEN Jun, CHEN Jian Long (Department of Applied Mathematics, Southeast University, Nanjing 210096, P. R. China) |
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| Abstract: | In this paper, we define generalized factorization of morphisms in the preaddi- tive category and give existential conditions and expressions for the {i}-inverses, {1, i}- inverses, Moore-Penrose inverses, Drazin inverses and group inverses of morphisms with generalized factorization. In the meantime, we generalize the corresponding results of morphisms with universal factorization. |
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| Keywords: | Preadditive category Morphism Moore-Penrose inverse Drazin inverse Group inverse |
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