CONNECTING GENERALIZED PRIESTLEY DUALITY TO HOFMANN-MISLOVE-STRALKA DUALITY

被引：0
作者：
Bezhanishvili, G. [1 ]
Carai, L. [1 ]
Morandi, P. J. [1 ]
机构：
[1] New Mexico State Univ, Las Cruces, NM 88003 USA
来源：
THEORY AND APPLICATIONS OF CATEGORIES | 2024年 / 41卷
关键词：
Stone duality; Priestley duality; semilattice; algebraic lattice; algebraic frame; coherent frame; TOPOLOGICAL DUALITY; LATTICE EXPANSIONS; REPRESENTATION; VARIETIES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We connect Priestley duality for distributive lattices and its generalization to distributive meet-semilattices to Hofmann-Mislove-Stralka duality for semilattices. Among other things, this involves consideration of various morphisms between algebraic frames. We also show how Stone duality for boolean algebras and generalized boolean algebras fits as a particular case of the general picture we develop.
引用
收藏
页码：1937 / 1982
页数：46
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