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张丽梅,乔立山，李 莹
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ZHANG Li-mei,QIAO Li-shan,LI Ying
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摘要： 坡是两个元素的乘积小于等于每个因子的加法幂等半环. 讨论了可逆坡矩阵的若干性质, 证明了可逆坡矩阵必是满秩的. 讨论了坡矩阵的行秩、列秩与Schein秩. 给出了坡矩阵的Schein秩的一个重要性质.
关键词: 坡, 坡矩阵, 坡矩阵的秩 , 可逆坡矩阵
Abstract: Inclines are additively idempotent semi-rings in which the products are less than or equal to either factor. Some properties of the invertible incline matrices are discussed, and the ranks of the invertible incline matrices are proved to be full. The row ranks, the column ranks and the Schein ranks of incline matrices are studied and important properties of the Schein ranks of incline matrices are given.
Key words: rank of incline matrix , invertible incline matrix, incline matrix, incline
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张丽梅,乔立山,李 莹 . 可逆坡矩阵与坡矩阵的秩[J]. J4, 2007, 42(9): 122-126 .
ZHANG Li-mei,QIAO Li-shan,LI Ying . Invertible incline matrices and ranks of incline matrices[J]. J4, 2007, 42(9): 122-126 .
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链接本文: http://lxbwk.njournal.sdu.edu.cn/CN/
http://lxbwk.njournal.sdu.edu.cn/CN/Y2007/V42/I9/122
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