On bases of closure operators on complete lattices

被引：0

作者：

Slapal, Josef ^{[1
]}

机构：

[1] Brno Univ Technol, Inst Math, Tech 2, Brno 61669, Czech Republic

来源：

QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 04期

关键词：

Complete lattice; pseudocomplement; closure operator; closed base; open base; neighborhood base;

D O I：

10.2989/16073606.2022.2041758

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study closure operators on complete lattices and define for them the concepts of closed and open bases as well as that of a neighborhood base. Some properties of these concepts are studied including relationships between them. In particular, we find sufficient conditions under which the properties are analogous to those known for topological spaces.

引用

页码：781 / 790

页数：10

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