| Quantale矩阵的加权M-P广义逆 |
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| 引用本文： | 何兴月,廖祖华,胡淼涵,芮明力.Quantale矩阵的加权M-P广义逆[J].四川师范大学学报(自然科学版),2012,35(3):340-344. |
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| 作者姓名： | 何兴月 廖祖华 胡淼涵 芮明力 |
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| 作者单位： | 江南大学 理学院,江苏无锡,214122 |
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| 基金项目： | 江苏省教育科学"十一五"规划项目，江苏省高等学校大学生实践创新训练计划项目 |
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| 摘 要： | 类比于态射或环上的对合运算,引入Quantale上的对合运算,从而给出Quantale上矩阵的加权M-P广义逆以及左(右)可消的定义,得到在此定义下Quantale上矩阵若存在加权M-P广义逆,则它是唯一的.在此基础上,用环论的方法,得到Quantale上矩阵存在加权M-P广义逆的一些等价刻画及显式表达式,得到的结论是新的,推广了该领域的最新结果.
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| 关 键 词： | Quantale矩阵 对合 加权M-P广义逆 |
Weighted Generalized M-P Inverse of Quantale Matrix |
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| HE Xin-yue
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LIAO Zu-hua
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HU Miao-han
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RUI Ming-li.Weighted Generalized M-P Inverse of Quantale Matrix[J].Journal of Sichuan Normal University(Natural Science),2012,35(3):340-344. |
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| Authors: | HE Xin-yue LIAO Zu-hua HU Miao-han RUI Ming-li |
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| Institution: | (Mathematics Department of School of Science,Jiangnan University,Wuxi 214122,Jiangsu) |
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| Abstract: | As an analogy of morphism or ring involution operation,Quantale involution operation is defined in this paper.The definitions of weighted generalized M-P inverse of a Quantale matrix and generalized left(right) cancellable property are given.Under these definitions,it is proved that if a Quantale matrix has a weighted generalized M-P inverse,then the inverse is unique.Based on this result,by using the method of ring theory,some characterizations for a Quantale matrix to possess a weighted generalized M-P inverse are obtained.Our results are new and generalize some recent results in this field. |
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| Keywords: | Quantale matrix involution weighted generalized M-P inverse |
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