| 具有泛分解态射的加权Moore-Penrose逆 |
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| 引用本文： | 章劲鸥,岑建苗.具有泛分解态射的加权Moore-Penrose逆[J].宁波大学学报(理工版),2007,20(4):476-480. |
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| 作者姓名： | 章劲鸥 岑建苗 |
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| 作者单位： | 宁波大学,理学院,浙江,宁波,315211 |
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| 摘 要： | 讨论了预加法范畴C中具有泛分解态射的加权Moore-Penrose逆,并给出了具有泛分解态射的加权Moore-Penrose逆存在的几个充要条件,以及具有泛分解态射的加权Moore-Penrose逆的表达式,推广了关于具有泛分解态射的广义Moore-Penrose逆的相应结果.
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| 关 键 词： | 预加法范畴 泛分解 态射 加权Moore-Penrose逆 泛分解 态射 加权 Factorization Universal 结果 表达式 条件 存在 预加法范畴 |
| 文章编号： | 1001-5132（2007）04-0476-05 |
| 收稿时间： | 2007-03-12 |
| 修稿时间： | 2007年3月12日 |
The Weighted Moore-Penrose Inverses of Morphisms with Universal Factorization |
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| ZHANG Jin-ou,CEN Jian-miao.The Weighted Moore-Penrose Inverses of Morphisms with Universal Factorization[J].Journal of Ningbo University(Natural Science and Engineering Edition),2007,20(4):476-480. |
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| Authors: | ZHANG Jin-ou CEN Jian-miao |
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| Abstract: | In this paper, discussions are made on the weighted Moore-Penrose inverses of the morphisms with universal factorization in the preadditive category. Some necessary and sufficient conditions are introduced for the existence of the weighted Moore-Penrose inverse of the morphisms with universal factorization, and also given are some pertinent formulae. The analytical results are extended of the generalized Moore-Penrose inverse of the morphisms with universal factorization. |
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| Keywords: | preadditive category universal factorization morphism weighted Moore-Penrose inverse |
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