On topological BCI-algebras

被引:0
作者
Jun, YB [1 ]
Xin, XL
Lee, DS
机构
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] NW Univ Xian, Dept Math, Xian 710069, Peoples R China
[3] Univ Ulsan, Dept Math, Ulsan 680749, South Korea
关键词
BCI-algebra; c-ideal; topological BCI-algebra;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We introduce the notion of topological BCI-algebras (briefly, TBCI-algebras) and find some properties of this structure. We give a characterization of a TBCI-algebra in terms of neighborhoods. We show that a TBCI-algebra X is Hausdorff if and only if {0} is closed in X, We give a filter base Omega generating a BCI-topology, and making a BCI-algebra X into a TBCI-algebra for which Omega is a fundamental system of neighborhoods of 0. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:253 / 261
页数:9
相关论文
共 3 条
[1]  
Alo R.A., 1986, MATH JPN, V31, P841
[2]  
Is~eki K, 1966, P JAPAN ACAD, V42, P351
[3]  
LEE DS, UNPUB MATH JPN