Amalgamating poset extensions and generating free lattices

DOI10.1007/s11083-022-09594-7arXiv1907.08964MaRDI QIDQ6105030

Robert Egrot

Publication date: 26 June 2023

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08964

zbMATH Keywords

canonical extensionfree lattice generated by a posetposet extension

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Free lattices, projective lattices, word problems (06B25)

Cites Work

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• Lattices freely generated by an order and preserving certain bounds
• Canonical extensions of posets.
• \(\Delta_1\)-completions of a poset.
• Categorial characterization of the MacNeille completion
• Free lattices. II
• The Completion of a Partially Ordered Set with Respect to a Polarization
• Distributive and completely distributive lattice extensions of ordered sets
• Order polarities
• Canonical extensions and relational completeness of some substructural logics
• Free Lattices Generated by Partially Ordered Sets and Preserving Bounds
• Bounded lattice expansions

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