Join-completions of partially ordered algebras

José Gil-Férez,Luca Spada,Constantine Tsinakis,Hongjun Zhou

doi:10.1016/j.apal.2020.102842

Join-completions of partially ordered algebras

José Gil-Férez, Luca Spada + Show 2 more

https://doi.org/10.1016/j.apal.2020.102842

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Journal: Annals of Pure and Applied Logic	Publication Date: May 23, 2020
Citations: 5

Affiliation: University of Bern, University of Salerno, Vanderbilt University, Shaanxi Normal University

#Varieties Of Algebras #Finite Property + Show 8 more

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Abstract

We present a systematic study of join-extensions and join-completions of partially 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 lattice-ordered algebras.

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