| 布尔矩阵空间及正则布尔矩阵的g－逆线性空间 |
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| 引用本文： | 吴哲辉,陈莉.布尔矩阵空间及正则布尔矩阵的g－逆线性空间[J].曲阜师范大学学报,1995(2). |
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| 作者姓名： | 吴哲辉 陈莉 |
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| 作者单位： | 山东矿业学院应用数学与软件工程系 |
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| 摘 要： | 研究了布尔矩阵空间和正则布尔矩阵的ｇ－逆线性空间的一些性质。在此基础上，给出了正则布尔矩阵的ｇ－逆集的另一个表示法。进而，提出了正则布尔矩阵的特征矩阵概念，通过特征矩阵可以表征一个正则布尔矩阵的极小ｇ－逆集、主ｇ－逆和ｇ－逆线性空间的一些重要性质。
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| 关 键 词： | 布尔矩阵空间，正则布尔矩阵，g－逆，线性空间，特征矩阵 |
BOOLEAN MATRIX SPACE AND THE g-INVERSE SPACE OF A REGULAR BOOLEAN MATRIX |
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| WuZhehui, Chen Li.BOOLEAN MATRIX SPACE AND THE g-INVERSE SPACE OF A REGULAR BOOLEAN MATRIX[J].Journal of Qufu Normal University(Natural Science),1995(2). |
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| Authors: | WuZhehui Chen Li |
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| Abstract: | Some properties of Boolean matrix space and the g-inverse space of a regu-lar Boolean matrix are investigated. Based on these. another representation of the g-inverseset of a regular Boolean matrix is given. Moreover, the concept of characteristic matrix of a regular Boolean matrix is presented. from which, some important properties of the mininal g -inverse set and the g-inverse space of a regular matrix can be characterized. |
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| Keywords: | Boolean Matrix space regular Boolean Matrix g-inverse linear space Characteristic matrix |
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