| 布尔矩阵的指标格的性质 |
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| 引用本文： | 曾志宣,罗从文.布尔矩阵的指标格的性质[J].数学的实践与认识,2010,40(3). |
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| 作者姓名： | 曾志宣 罗从文 |
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| 作者单位： | 三峡大学理学院,湖北,宜昌,443002 |
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| 基金项目： | 湖北省教育厅自然科学研究重点项目(D200713001) |
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| 摘 要： | 介绍了布尔矩阵的行零元、列零元和相容子矩阵的定义并讨论了它们的性质,给出了布尔矩阵的指标格分别为分配格、半分配格和半模格的等价条件.
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| 关 键 词： | 行零元 列零元 布尔矩阵 指标格 |
The Properties of the Index Lattice of the Boolean Matrix |
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| ZENG Zhi-xuan,LUO Cong-wen.The Properties of the Index Lattice of the Boolean Matrix[J].Mathematics in Practice and Theory,2010,40(3). |
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| Authors: | ZENG Zhi-xuan LUO Cong-wen |
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| Institution: | ZENG Zhi-xuan,LUO Cong-wen (College of Science Three Gorges University,Yichang 443002,China) |
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| Abstract: | In this paper we introduce the row(column) zero elements and the compatible submatrices of the Boolean matrix and discuss their properties,and give some equivalent conditions of the index lattice of the Boolean matrix when they are distributive,semidistributive and semimodular. |
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| Keywords: | row zero elements column zero elements boolean matrix index lattice |
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