| 有限集合上二元关系的关系矩阵 |
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| 引用本文： | 叶载良.有限集合上二元关系的关系矩阵[J].商洛学院学报,2000(2). |
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| 作者姓名： | 叶载良 |
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| 作者单位： | 商洛师范专科学校数学系!陕西商州726000 |
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| 摘 要： | 指出了两给定集合之间所有二元关系集合在通常集合的并和交运算下构成一个布尔代数 .给出了有限集合上二元关系的关系矩阵行列式和秩的定义 ,讨论了它们的一些性质 .并给出了关系矩阵加法和乘法的定义 ,证明了有限集合上所有二元关系的关系矩阵集合在上述加法和乘法下构成一个半环 .
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| 关 键 词： | 关系矩阵行列式 关系矩阵的秩 关系矩阵的加法 关系矩阵的乘法 半环 |
The Relational Matrix of Two Element Relation on the Finite Set |
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| WTBZYe,Zailiang.The Relational Matrix of Two Element Relation on the Finite Set[J].Journal of Shangluo University,2000(2). |
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| Authors: | WTBZ]Ye Zailiang |
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| Institution: | WT5BZ]Ye Zailiang |
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| Abstract: | It describes that set of all two element relations between two sets constructs a Boolean algebra in the ordinary operations of set union and set intersection Definitions of determinant and rank of the relational matrix of two element relation on the finite set are given,some particularity of them is discussed And,definitions of relation matrix plus and multiplication are given,it is proved that set of the relation matrixs of all two element relations in the finite set constructs a semiring in that of plus and multiplication |
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| Keywords: | determinant of the relational matrix rank of the relational matrix relation matrix plus relation matrix multiplication semi ring |
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