| 可逆坡矩阵与坡矩阵的秩 |
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| 引用本文： | 张丽梅,乔立山,李莹. 可逆坡矩阵与坡矩阵的秩[J]. 山东大学学报(理学版), 2007, 42(9): 122-126 |
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| 作者姓名： | 张丽梅 乔立山 李莹 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059;聊城大学,数学科学学院,山东,聊城,252059;聊城大学,数学科学学院,山东,聊城,252059 |
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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.
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| 关 键 词： | 坡 坡矩阵 可逆坡矩阵 坡矩阵的秩 |
| 文章编号： | 1671-9352（2007）09-0122-05 |
| 修稿时间： | 2007-03-02 |
Invertible incline matrices and ranks of incline matrices |
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| ZHANG Li-mei,QIAO Li-shan,LI Ying. Invertible incline matrices and ranks of incline matrices[J]. Journal of Shandong University, 2007, 42(9): 122-126 |
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| Authors: | ZHANG Li-mei QIAO Li-shan LI Ying |
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| Affiliation: | School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China |
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| Abstract: | Inclines are additively idempotent senti-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 mw 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. |
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| Keywords: | incline incline matrix invertible incline matrix rank of incline matrix |
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