| 布尔矩阵的指标格(英文) |
| |
| 引用本文： | 曾志宣,罗从文.布尔矩阵的指标格(英文)[J].数学进展,2012(2):150-154. |
| |
| 作者姓名： | 曾志宣 罗从文 |
| |
| 作者单位： | 三峡大学理学院 |
| |
| 基金项目： | Supported by the Natural Science Foundation of Hubei Provence(No.D200713001) |
| |
| 摘 要： | 本文介绍了布尔矩阵的指标格,并讨论了它的性质,得到了从布尔矩阵指标格到一个给定完备格的一个序嵌入映射存在的条件,回答了在什么条件下布尔矩阵的指标格是完全分配格的问题。
|
| 关 键 词： | 布尔矩阵 指标格 序嵌入映射 |
The Index Lattice of the Boolean Matrix |
| |
| ZENG Zhixuan,LUO Congwen.The Index Lattice of the Boolean Matrix[J].Advances in Mathematics,2012(2):150-154. |
| |
| Authors: | ZENG Zhixuan LUO Congwen |
| |
| Institution: | (**) (College of Science,China Three Gorges University,Yichang,Hubei,443002,P.R.China) |
| |
| Abstract: | In this paper we introduce the index lattice of the Boolean matrix and discuss its properties.We obtain the condition of the existence of an order-embedding from the index lattice of the Boolean matrix to a given complete lattice,and answer the question when the index lattice of the Boolean matrix is completely distributive. |
| |
| Keywords: | Boolean matrix index lattice order-embedding |
| 本文献已被 CNKI 等数据库收录！ |
