| Generalized Inverses of Matrices over Rings |
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| 作者姓名： | 韩瑞珠 陈建龙 |
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| 作者单位： | Southeast University，Nanjing Agricultural University Nanjing 210018，Nanjing 210014 |
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| 摘 要： | Let R be a ring, * be an involutory function of the set of all finite matrices over R. In this paper, necessary and sufficient conditions are given for a matrix to have a (1,3)-inverse, (1,4)-inverse, or Moore-P enrose inverse, relative to *. Some results about generalized inverses of matrices over division rings are generalized and improved.
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| 关 键 词： | 矩阵 广义逆 对合函数 FP－单射环 Moore－Penrose逆 一元运算 正性 除环 |
Generalized Inverses of Matrices over Rings |
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| Han Ruizhu Chen Jianlong.Generalized Inverses of Matrices over Rings[J].Chinese Quarterly Journal of Mathematics,1992,7(4):40-47. |
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| Authors: | Han Ruizhu Chen Jianlong |
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| Institution: | [1]SoutheastUniversity,Nanjing,210018 [2]NanjingAgriculturalUniversity,Nanjing,210014 |
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| Abstract: | Let R be a ring,*be an involutory function of the set of all finite matrices over R. In this pa-per,necessary and sufficient conditions are given for a matrix to have a (1,3)-inverse,(1,4)-inverse,or Morre-Penrose inverse,relative to *.Some results about generalized inverses of matrices over division rings are generalized and improved. |
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| Keywords: | generalized inverse involutory function FP-injective ring |
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