Canonical extensions, free completely distributive lattices, and complete retracts

被引：0
|
作者：
Guram Bezhanishvili
John Harding
Mamuka Jibladze
机构：
[1] New Mexico State University,Department of Mathematical Sciences
[2] TSU Razmadze Mathematical Institute,undefined
来源：
Algebra universalis | 2021年 / 82卷
关键词：
Completely distributive lattice; Canonical extension; Free completely distributive extension; Complete retract; 06D10;
D O I：
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摘要：
We provide a simple proof of a recent result of Morton and van Alten that the canonical extension of a bounded distributive lattice is its free completely distributive extension. We show that this can be used to easily obtain a number of results, both known and new.
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