| Lattice Im plication Homom orphism inIm plication Filter Spaces |
| |
| 作者姓名： | 宋振明 王建平 |
| |
| 作者单位： | Song Zhenming(Department of Applied Mathematics，Southwest Jiaotong University，Chengdu，610031) Wang Jianping (Department of Mathematics，Henan University，Kaifeng，475001) |
| |
| 摘 要： | ＩｍｐｌｉｃａｔｉｏｎｆｉｌｔｅｒｓｄｅｒｉｖｅｆｒｏｍＭｏｄｕｓＰｏｅｎｅｓＲｕｌｅｉｎｌｏｇｉｃ．Ｉｔｉｓｖｅｒｙｉｍｐｏｒｔａｎｔｔｏｓｔｕｄｙｌａｔｔｉｃｅｉｍｐｌｉｃａｔｉｏｎａｌｇｅｂｒａｓａｎｄｔｈｅｃｏｒｒｅｓｐｏｎｄｉｎｇｌａｔｔｉｃｅ－ｖａｌｕｅｄｌｏｇｉｃｓｙｓｔｅｍ．Ｉｎｏｒｄｅｒｔｏｉｎ－ｖｅｓｔｉｎｇａｔｅｌａｔｔｉｃｅｉｍｐｌｉｃａｔｉｏｎａｌｇｅｂｒａｓｆｒｏｍｔｈｅｖｉｅｗｏｆａｎａｌｙｓｉｓ，ｉｍｐｌｉｃａｔｉｏｎｆｉｌｔｅｒｓｐａｃｅｈａｓｂｅｅｎｅｓｔａｂ…
|
| 关 键 词： | 蕴涵滤子空间 格蕴涵同态 蕴涵滤子拓扑 |
Lattice Implication Homomorphism in Implication Filter Spaces |
| |
| Song Zhenming.Lattice Im plication Homom orphism inIm plication Filter Spaces[J].Chinese Quarterly Journal of Mathematics,1998,13(4):17-23. |
| |
| Authors: | Song Zhenming |
| |
| Institution: | [1]Department [2]of |
| |
| Abstract: | In this paper,we investigate some special properties of lattice implication homomorphism in implication filter spaces. We show that lattice implication homomorphism is a continuous function with respect to implication filter topology. Moreover,we give a structural characterstic of left translation topology and right translation topology,which finally leads to the structural characteristics of product topology. |
| |
| Keywords: | lattice implication homomorphism implication filter spaces implication filter topology |
| 本文献已被 CNKI 维普 等数据库收录！ |
