| 态射的分解与Moore-Penrose逆 |
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| 引用本文： | 章劲鸥.态射的分解与Moore-Penrose逆[J].科技通报,2008,24(3):299-304. |
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| 作者姓名： | 章劲鸥 |
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| 作者单位： | 宁波大学,数学系,浙江,宁波,315211 |
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| 摘 要： | 通过态射的分解讨论预加法范畴中态射的Moore-Penrose逆。给出了态射的Moore-Penrose逆存在的几个充要条件以及表达式。特别,得到了态射f有Moore-Penrose逆的充要条件是f有泛分解f=pgq使得g 存在并且(pg)*pg i-g g和gq(gq)* i-gg 均可逆。
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| 关 键 词： | 态射 泛分解 Moore-Penrose逆 |
| 文章编号： | 1001-7119(2008)03-0299-06 |
| 修稿时间： | 2007年9月30日 |
Factorization of Morphisms and Moore-Penrose Inverse |
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| Zhang Jinou.Factorization of Morphisms and Moore-Penrose Inverse[J].Bulletin of Science and Technology,2008,24(3):299-304. |
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| Authors: | Zhang Jinou |
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| Abstract: | By use of factorization of morphisms,the Moore-Penrose inverses of morphisms in the preadditive category are discussed.Some necessary and sufficient conditions for existence of the Moore-Penrose inverse of morphisms and some characterizations of the Moore-Penrose inverse are given.In particular,the Moore-Penrose inverse of a morphism f exists if and only if there exist morphisms p,g and q such that f=pgq,g exists,and(pg)*pg i-g g and gq(gq)* i-gg are both invertible. |
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| Keywords: | morphism universal factorization Moore-Penrose inverse |
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