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局部环上一类矩阵广义逆的偏序
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, 0(5): 5-8
作者姓名:吴炎
作者单位:琼州学院数学系,海南五指山572200
基金项目:海南省教育厅高校科研资助项目(HjKj200733)
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。

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
WU Yan. Partial Ordering of Generalized Inverse of Classes Matrices over a Local Ring[J]. Journal of Qiongzhou University, 2008, 0(5): 5-8
Authors:WU Yan
Affiliation:WU Yan(Department of Mathematics,Qiongzhou University,Wuzhishan Hainan 572200,China)
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.
Keywords:partial ordering  the relation of partial ordering  generalized inverse
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