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布尔矩阵维数的缺断区间(英)
Intervals of Gaps on Cardinalities of Boolean Matrices
【摘要】 本文证明了n维布尔矩阵维数的一个新的缺断区间为这一结果扩充了一些已知的结论.
【Abstract】 It is shown that there is no Boolean matrix A of order (n > 7) such that where | R(A) | denotes the cardinality of row space of A. This extends previous results on the gaps of n of n X n bolean matrices.
【关键词】 Boolean matrix;
row (column) space;
binary relation;
finite topology;
【Key words】 Boolean matrix; row (column) space; binary relation; finite topology;
【Key words】 Boolean matrix; row (column) space; binary relation; finite topology;
- 【文献出处】 应用数学 ,MATHEMATICA APPLICATA , 编辑部邮箱 ,1998年04期
- 【分类号】O153.2
- 【下载频次】20