| 局部环上一类矩阵广义逆的偏序 |
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| 引用本文： | 吴炎.局部环上一类矩阵广义逆的偏序[J].琼州学院学报,2008(5):5-8. |
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| 作者姓名： | 吴炎 |
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| 作者单位： | 琼州学院数学系,海南五指山572200 |
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| 基金项目： | 海南省教育厅高校科研资助项目（HjKj200733） |
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| 摘 要： | 设R是局部环,A=P^-1（I^（r）＋D）P∈Mn（R）,其中D=diag{d1,…,dn-r}或D=0,d1,…,dn-r∈M,.研究R上集合意义下广义逆的矩阵偏序A≤^3]和A≤^2,3],确定了具有偏序A≤^3]和A≤^2,3]的矩阵集Mn（B┇A≤^3]B）和Mn（B┇A≤^2,3]B）都不是单点集。
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| 关 键 词： | 偏序 矩阵偏序关系 广义逆 |
Partial Ordering of Generalized Inverse of Classes Matrices over a Local Ring |
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| WU Yan.Partial Ordering of Generalized Inverse of Classes Matrices over a Local Ring[J].Journal of Qiongzhou University,2008(5):5-8. |
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| Authors: | WU Yan |
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| Institution: | WU Yan(Department of Mathematics,Qiongzhou University,Wuzhishan Hainan 572200,China) |
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| Abstract: | Let R is a local ring,and A=P-1（I^（r）＋D）P in Mn（R）,where D=diag{d1,…,dn-r} or D=0,and d1,…,dn-r in M.In this paper,the partial ordering of generalized inverse of the classes matrices are discussed over a local ring,such as A≤^{3}B and A≤^{2,3}B;and the fact was given that the set Mn（B┇A≤^{3}B） and the set Mn（B┇A≤^{2,3}B） with the relations A≤^{3}B and A≤^{2,3}B both are not the set of the simple points. |
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| Keywords: | partial ordering the relation of partial ordering generalized inverse |
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