格蕴涵代数的素空间

数学季刊 ›› 1997, Vol. 12 ›› Issue (4): 46-50.

格蕴涵代数的素空间

Department of Applied Mathematics,Southwest Jiaotong University,Chengdu,610031； Department of Mathematics,Henan University,Kaifeng,475001

收稿日期:1996-12-05 出版日期:1997-12-30 发布日期:2024-11-14
基金资助:
This work was supported by the National Natural Science Foundation of China(Grant No.69674015)and the Science

Foundation of Henan Education Commission

Prime Space of Lattice Implication Algebras

Department of Applied Mathematics,Southwest Jiaotong University,Chengdu,610031； Department of Mathematics,Henan University,Kaifeng,475001

Received:1996-12-05 Online:1997-12-30 Published:2024-11-14
Supported by:
This work was supported by the National Natural Science Foundation of China(Grant No.69674015)and the Science

Foundation of Henan Education Commission

摘要/Abstract

摘要： In this paper,after discussing the prime implication filter of lattice implication algebra,we introduced the concept of prime space of lattice implication algebra,in which we analysised its topological property and discussed the relation between the category of topological space and the category of lattice implication algebras.

关键词: lattice implication , algebra;prime implication , flter;topological , space;prime , space;category

Abstract: In this paper,after discussing the prime implication filter of lattice implication algebra,we introduced the concept of prime space of lattice implication algebra,in which we analysised its topological property and discussed the relation between the category of topological space and the category of lattice implication algebras.

Key words: lattice implication , algebra;prime implication , flter;topological , space;prime , space;category

中图分类号:

O153

宋振明, 郭天榜. 格蕴涵代数的素空间[J]. 数学季刊, 1997, 12(4): 46-50.

Song Zhenming, Guo Tianbang. Prime Space of Lattice Implication Algebras[J]. Chinese Quarterly Journal of Mathematics, 1997, 12(4): 46-50.

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