Canonical extensions, free completely distributive lattices, and complete retracts

ALGEBRA UNIVERSALIS(2021)

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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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关键词
Completely distributive lattice,Canonical extension,Free completely distributive extension,Complete retract
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