| 关于布尔矩阵行空间基数的若干存在区间 |
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| 引用本文： | 钟莉萍,周剑辉.关于布尔矩阵行空间基数的若干存在区间[J].数学季刊,2008,23(4). |
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| 作者姓名： | 钟莉萍 周剑辉 |
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| 作者单位： | Mathematics;Computational;Science;School;Zhanjiang;Normal;University;524048;China; |
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| 基金项目： | Supported by the Guangdong Provincial Natural Science Foundation of China(06029035) |
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| 摘 要： | Let B_n be the set of all n×n Boolean Matrices;R(A) denote the row space of A∈B_n,|R(A)| denote the cardinality of R(A),m,n,k,l,t,i,γ_i be positive integers,S_i,λ_i be non negative integers.In this paper,we prove the following two results: (1)Let n≥13,n-3≥k > S_l,S_(i+1)> S_i,i = 1,2,…,l-1.if k+l≤n,then for any m=2~k+2~(S_(l)) + 2~(S_(l-1))+…+ 2~(S_(1)),there exists A∈B_n,such that |R(A)|= m. (2)Let n≥13,n-3≥k>S_(n-k-1)> S_(n-k-2)>…>S_1>λ_t>λ_(t-1)>…>λ_1,2≤t≤n-k.If existγ_i(k+1≤γ_i≤n-1,i=1,2,…,t-1)γ_i<γ_...
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| 关 键 词： | 布尔矩阵 行空间基数 存在区间 数学分析 |
Some Results on the Cardinalities of Row Space of Boolean Matrices |
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| ZHONG Li-ping,ZHOU Jian-hui.Some Results on the Cardinalities of Row Space of Boolean Matrices[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | ZHONG Li-ping ZHOU Jian-hui |
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| Institution: | Mathematics and Computational Science School, Zhanjiang Normal University, Zhanjiang 524048, China |
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| Abstract: | |
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| Keywords: | Boolean matrix row space caxdinality of a row space |
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