| 加法幂等半环上矩阵的同时幂零性 |
| |
| 引用本文： | 官明友,谭宜家,李德新.加法幂等半环上矩阵的同时幂零性[J].福建农林大学学报(自然科学版),2009,38(6). |
| |
| 作者姓名： | 官明友 谭宜家 李德新 |
| |
| 作者单位： | 1. 福建农林大学计算机与信息学院,福建,福州,350002
2. 福州大学数学与计算机科学学院,福建,福州,350002 |
| |
| 基金项目： | 福建农林大学青年教师科研基金资助项目 |
| |
| 摘 要： | 探讨加法幂等半环上矩阵的同时幂零性,刻画了矩阵同时幂零的等价条件以及同时幂零矩阵的标准形.
|
| 关 键 词： | 加法幂等半环 幂零矩阵 同时幂零 |
The simultaneous nilpotency of matrices over an additively idempotent semiring |
| |
| GUAN Ming-you,TAN Yi-jia,LI De-xin.The simultaneous nilpotency of matrices over an additively idempotent semiring[J].Journal of Fujian Agricultural and Forestry University,2009,38(6). |
| |
| Authors: | GUAN Ming-you TAN Yi-jia LI De-xin |
| |
| Institution: | GUAN Ming-you1,TAN Yi-jia2,LI De-xin1(1.College of Computer and Information,Fujian Agriculture and Forestry University,2.College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350002,China) |
| |
| Abstract: | The simultaneous nilpotency of matrices over an additively idempotent semiring was discussed,and some necessary and sufficient conditions for matrices to be simultaneously nilpotent were obtained.A canonical form for the simultaneous nilpotency of matrices was also given. |
| |
| Keywords: | additively idempotent semiring nilpotent matrix simultaneous nilpotence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
