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arXiv · 1708.04990

Join-completions of ordered algebras

José Gil-Férez·Luca Spada·Constantine Tsinakis·Hongjun Zhou
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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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José Gil-Férez, Luca Spada, Constantine Tsinakis, Hongjun Zhou. 2017-08-16. Join-completions of ordered algebras. https://arxiv.org/abs/1708.04990

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