| 半环上矩阵的秩和坡上矩阵可逆的条件 |
| |
| 引用本文： | 段俊生. 半环上矩阵的秩和坡上矩阵可逆的条件[J]. 数学杂志, 2006, 26(5): 478-484 |
| |
| 作者姓名： | 段俊生 |
| |
| 作者单位： | 天津商学院应用数学系,天津,300134 |
| |
| 基金项目： | Supported by Depart ment Fund of Science and Technology in Tianjin Higher Education Institutions(20050404) . |
| |
| 摘 要： | 研究了交换半环上矩阵的秩和坡上矩阵的可逆条件.利用Beasley的引理以及不变式,获得了交换半环上正则矩阵的行秩、列秩与Schein秩三者相等,以及坡上矩阵可逆的充要条件.推广模糊代数和分配格上矩阵的结果.
|
| 关 键 词： | 半环 坡 正则矩阵 可逆矩阵 秩 |
| 文章编号： | 0255-7797（2006）05-0478-07 |
| 收稿时间： | 2004-05-18 |
| 修稿时间： | 2004-05-182005-01-24 |
ANK OF MATRICES OVER SEMIRINGS AND INVERTIBLE CONDITIONS FOR MATRICES OVER INCLINES |
| |
| DUAN Jun-sheng. ANK OF MATRICES OVER SEMIRINGS AND INVERTIBLE CONDITIONS FOR MATRICES OVER INCLINES[J]. Journal of Mathematics, 2006, 26(5): 478-484 |
| |
| Authors: | DUAN Jun-sheng |
| |
| Affiliation: | Dept. of Applied Math., Tianjin University of Commerce,Tianjin 300134,China |
| |
| Abstract: | The rank of matrices over a commutative semiring and the invertible conditions for matrices over an incline are studied.Making use of Beasley's Lemma and permanent we obtain the row rank, column rank and Schein rank are identical for a regular matrix over a commutative semiring and the necessary and sufficient conditions for invertibility of matrices over an incline.These results are generalizations of the results about matrices over fuzzy algebra and distributive lattices. |
| |
| Keywords: | semiring incline regular matrix invertible matrix rank |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
