| 具有泛分解的态射的广义逆 |
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| 引用本文： | 江声远,刘晓冀. 具有泛分解的态射的广义逆[J]. 数学学报, 1999, 42(2): 233-240. DOI: cnki:ISSN:0583-1431.0.1999-02-005 |
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| 作者姓名： | 江声远 刘晓冀 |
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| 作者单位： | 江西师范大学数学系,南昌,330027 |
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| 摘 要： | 本文研究范畴中态射乘积ggq的广义逆．假设有态射p'和q',使得p'pg＝g＝gqq'．分别用g~+和g~#给出了乘积Pgq的Moore－Penrose逆和Drazin逆存在的充要条件及其表达式．
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| 关 键 词： | 范畴 态射 Moore－Penrose逆 Drazin逆 |
| 修稿时间： | :1997-08-2 |
Generalized Inverses of Morphisms with Universal-Factorzation |
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| Jiang Shengyuan,Liu Xiaoji. Generalized Inverses of Morphisms with Universal-Factorzation[J]. Acta Mathematica Sinica, 1999, 42(2): 233-240. DOI: cnki:ISSN:0583-1431.0.1999-02-005 |
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| Authors: | Jiang Shengyuan Liu Xiaoji |
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| Affiliation: | Jiang Shengyuan; Liu Xiaoji；(Department of Mathematics, Jiangxi Normal University, Nanchang 330027, P.R. China) |
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| Abstract: | In this paper we research generalized inverse of product f = pgq in categories.Suppose these exist morphism p' and q' such p'pg = g = gqq', we characterize theexistance of the Moors-Penrose inverse f and the Drazin inverse fD in terms of g and g# respactively, and establish the expression of f and fD. |
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| Keywords: | Category Morphism The Moors-Penrose inverse The Drazin inverse |
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