| 自由格的若干定理 |
| |
| 引用本文： | 董荣森.自由格的若干定理[J].数学学报,1994,37(5):577-583. |
| |
| 作者姓名： | 董荣森 |
| |
| 作者单位： | 江西师范大学数学系 |
| |
| 摘 要： | 格的一个等式类Ｋ上由一个弱偏格生成的自由格的定义可以仿照Ｋ上由偏格生成的自由格的定义来给出．本文给出了Ｋ上由弱偏格生成的自由格的存在定理，并对任一非序集生成的自由分配格的结构作了两点刻画．
|
| 关 键 词： | 自由格，存在，同构 |
| 收稿时间： | 1991-4-8 |
Several Theorems of Free Lattices |
| |
| Dong Rongsen.Several Theorems of Free Lattices[J].Acta Mathematica Sinica,1994,37(5):577-583. |
| |
| Authors: | Dong Rongsen |
| |
| Institution: | Dong Rongsen (Department of Mathematics,Jiangxi Normal University, Nanchang 330027, China) |
| |
| Abstract: | The discussion of the free lattice generated by a weak partial lattice over the equive-lence class K over lattice could be approached similarly line the free lattice generated by partiallattice. In this paper,an existence theorem about the free lattice generated by weak partiallattice was given. Further,we give two characterization for the structure of the free distributivelattice generated by an arbitrary non-ordered set. |
| |
| Keywords: | free lattice existence isomorphism |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
