A generalization of the Dedekind-MacNeille completion

DOI10.1007/S00233-017-9911-4zbMATH Open1456.06006OpenAlexW2775518794MaRDI QIDQ722567

Zhongxi Zhang, Qingguo Li

Publication date: 26 July 2018

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-017-9911-4

zbMATH Keywords

Dedekind-MacNeille completion\(Z_{\delta }\)-below\(Z_{\delta }\)-completion\(Z_{\delta }\)-continuityembedded \(Z_{\delta }\)-basis

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Continuous lattices and posets, applications (06B35)

Cites Work

• Title not available (Why is that?)
• Completely precontinuous posets.
• A uniform approach to inductive posets and inductive closure
• Generalized continuous posets and a new Cartesian closed category
• Dcpo-completion of posets
• The category of Z-continuous posets
• Chain-complete posets and directed sets with applications
• Closure spaces and completions of posets
• The category of supercontinuous posets
• Generalization of Continuous Posets
• Continuous Lattices and Domains
• Partially Ordered Sets
• A Subdirect-Union Representation for Completely Distributive Complete Lattices
• \(Z\)-join spectra of \(Z\)-supercompactly generated lattices

Related Items (5)

The duality theory of general \(\mathcal{Z}\)-continuous posets ⋮ Dedekind-MacNeille completion of \(n\)-ordered sets ⋮ \( \mathcal{Z} \)-quasidistributive and \(\mathcal{Z} \)-meet-distributive posets ⋮ MacNeille completions and canonical extensions ⋮ Dedekind–MacNeille completion and Cartesian product of multi-adjoint lattices

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