| 具有核的态射广义Moore-Penrose逆 |
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| 引用本文： | 刘晓冀,邓泽喜.具有核的态射广义Moore-Penrose逆[J].数学杂志,2010,30(1). |
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| 作者姓名： | 刘晓冀 邓泽喜 |
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| 作者单位： | 1. 广西民族大学数学与计算机科学学院,广西,南宁,530006
2. 毕节学院数学系,贵州,毕节,551700 |
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| 基金项目： | 广西自然科学基金，广西百名中青年学科带头人资助项目，广西民族大学研究生教育创新计划 |
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| 摘 要： | 本文研究了具有核的态射广义Moore-Penrose逆.利用加边态射的可逆性,获得了态射广义Moore-Penrose逆存在的一些新的充要条件及相关表达式,推广了态射Moore-Penrose逆的相应结论.
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| 关 键 词： | 加边态射 广义Moore-Penrose逆 加法范畴 |
GENERALIZED MOORE-PENROSE INVERSES OF MORPHISMS WITH KERNELS |
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| LIU Xiao-ji,DENG Ze-xi.GENERALIZED MOORE-PENROSE INVERSES OF MORPHISMS WITH KERNELS[J].Journal of Mathematics,2010,30(1). |
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| Authors: | LIU Xiao-ji DENG Ze-xi |
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| Affiliation: | LIU Xiao-ji~1,DENG Ze-xi~2 (1.College of Comp., Infor.Science,Guangxi University for Nationalities,Nanning 530006,China) (2.Dept.of Math.,Bijie College,Bijie 551700,China) |
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| Abstract: | Generalized Moore-Penrose inverses of morphisms with kernels are studied in this article.With the help of the invertibility of bordered morphisms,some new necessary and sufficient conditions for the existence and expressions of generalized Moore-Penrose inverses for morphisms are given.And some results on the Moore-Penrose inverse are extended. |
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| Keywords: | bordered morphism generalized Moore-Penrose inverse additive category |
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