Comparison of MacNeille, Canonical, and Profinite Completions

被引：5

作者：

Bezhanishvili, Guram ^{[2
]}

Vosmaer, Jacob ^{[1
]}

机构：

[1] Univ Amsterdam, Inst Log Language & Computat, NL-1018 TV Amsterdam, Netherlands

[2] New Mexico State Univ, Dept Math Sci, Las Cruces, NM 88003 USA

来源：

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS | 2008年 / 25卷 / 04期

关键词：

MacNeille completion; Canonical completion; Profinite completion; Duality theory;

D O I：

10.1007/s11083-008-9095-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using duality theory, we give necessary and sufficient conditions for the MacNeille, canonical, and profinite completions of distributive lattices, Heyting algebras, and Boolean algebras to be isomorphic.

引用

页码：299 / 320

页数：22