A TOPOLOGICAL DUALITY FOR MILDLY DISTRIBUTIVE MEET-SEMILATTICES

被引：3
|
作者：
Celani, Sergio A. [1 ]
Gonzalez, Luciano J. [2 ]
机构：
[1] Univ Nacl Ctr, Pinto 399, RA-7000 Tandil, Argentina
[2] Univ Nacl La Pampa, Uruguay 151, RA-6300 Santa Rosa, Argentina
来源：
REVISTA DE LA UNION MATEMATICA ARGENTINA | 2018年 / 59卷 / 02期
基金：
欧盟地平线“2020”;
关键词：
Semilattices; distributivity on semilattices; duality theory; congruences;
D O I：
10.33044/revuma.v59n2a04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a topological duality for the category of mildly distributive meet-semilattices with a top element and certain morphisms between them. Then, we use this duality to characterize topologically the lattices of Frink ideals and filters, and we also obtain a topological representation for some congruences on mildly distributive meet-semilattices.
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页码：265 / 284
页数：20
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