Join-completions of ordered algebras
classification
🧮 math.LO
keywords
orderedalgebrasjoin-completionscompletionconstructionsdedekind-macneilleembeddabilityfinite
read the original abstract
We present a systematic study of join-extensions and join-completions of ordered algebras, which naturally leads to a refined and simplified treatment of fundamental results and constructions in the theory of ordered structures ranging from properties of the Dedekind-MacNeille completion to the proof of the finite embeddability property for a number of varieties of ordered algebras.
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