| 代数上的超广义投影元的线性组合的群逆的表示（英文） |
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| 引用本文： | 朱辉辉,陈建龙.代数上的超广义投影元的线性组合的群逆的表示（英文）[J].南京大学学报(自然科学版),2014,31(1):1-8. |
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| 作者姓名： | 朱辉辉 陈建龙 |
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| 作者单位： | 东南大学数学系,南京,210096 |
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| 基金项目： | NNSF，This research is supported by the National Natural Science Foundation of China，the Specialized Research Fund for the Doctoral Program of Higher Education，the Foundation of Graduate Innovation Program of Jiangsu Province，the Fundamental Research Funds for the Central Universities |
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| 摘 要： | 本文,我们研究了λ_1a+λ_2b的群逆,其中a与b为域上的代数中的超广义投影元.作为应用,我们给出了a~mb~n(λ_1a~k+λ_2b~l)的群逆的公式.
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| 关 键 词： | 超广义投影元 群逆 Moore-Penrose逆 EP元. |
REPRESENTATIONS OF GENERALIZED INVERSES OF A LINEAR COMBINATION OF HYPERGENERALIZED PROJECTORS IN AN ALGEBRA |
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| Zhu Huihui,Chen Jianlong.REPRESENTATIONS OF GENERALIZED INVERSES OF A LINEAR COMBINATION OF HYPERGENERALIZED PROJECTORS IN AN ALGEBRA[J].Journal of Nanjing University: Nat Sci Ed,2014,31(1):1-8. |
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| Authors: | Zhu Huihui Chen Jianlong |
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| Institution: | 1.Department of Mathematics, Southeast University, 210096, Nanjing PRC;) |
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| Abstract: | In this paper,we study the group inverse of a linear combination λ1a＋ λ2b,where a and b are hypergeneralized projectors in an algebra over a field F.As applications,the formula for the group inverse of ambn（λ1ak ＋ λ2bl） is given. |
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| Keywords: | hypergeneralized projector group inverse Moore-Penrose inverse EP element |
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