| 关于具有泛分解的态射的广义逆 |
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| 引用本文： | 曹永知,朱萍. 关于具有泛分解的态射的广义逆[J]. 数学学报, 2001, 44(3): 559-566. DOI: cnki:ISSN:0583-1431.0.2001-03-022 |
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| 作者姓名： | 曹永知 朱萍 |
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| 作者单位： | 1. 北京师范大学数学系
2. 武汉大学数学系 |
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| 摘 要： | 本文给出了预加范畴中具有泛分解的态射的（１，…，ｉ）－逆存在的条件及其表达式．特别地，得到了这类态射的Ｍｏｏｒｅ－Ｐｅｎｒｏｓｅ边和群逆存在的一些新的充要条件和新的表达式．
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| 关 键 词： | 预加范畴 态射 (1,…i)-逆 Moore-Penrose逆 群逆 |
| 文章编号： | 0583-1431(2001)03-0559-08 |
| 修稿时间： | 1999-04-22 |
On Generalized Inverses of Morphisms with Universal-factorization |
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| CAO Yong Zhi,ZHU Ping. On Generalized Inverses of Morphisms with Universal-factorization[J]. Acta Mathematica Sinica, 2001, 44(3): 559-566. DOI: cnki:ISSN:0583-1431.0.2001-03-022 |
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| Authors: | CAO Yong Zhi ZHU Ping |
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| Affiliation: | CAO Yong Zhi (Department of Mathematics, Beijing Normal University, Beijing 100875, P. R. China) (Department of mathematics, Central China Normal University Wuhan 430079, P. R. China) (E-mail: caoyongzhi@sina.com) ZHU Ping (Department of mathematics, Wu |
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| Abstract: | In this paper,we give existential conditions and expressions for the (1,..., i)-inverses of morphisms with universal-factorization in a preadditive category. Particu-larly, we obtain some new necessary and sufficient conditions for the existence and newexpressions of Moore-Penrose inverses and group inverses of this class of morphisms. |
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| Keywords: | Preadditive category Morphism (1,...,i)-inverse Moore-Penrose inverse Group inverse |
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