New representations of algebraic domains and algebraic L-domains via closure systems

DOI10.1007/s00233-021-10209-7OpenAlexW3183219183MaRDI QIDQ1982590

Lankun Guo, Mingyuan Wu, Qing-Guo Li

Publication date: 14 September 2021

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

Full work available at URL: https://doi.org/10.1007/s00233-021-10209-7

zbMATH Keywords

algebraic domaincategory equivalenceclosure systemalgebraic L-domain

Mathematics Subject Classification ID

Continuous lattices and posets, applications (06B35) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Categories of topological spaces and continuous mappings (18F60)

Related Items (2)

A set-theoretic representation of algebraic L-domains ⋮ The categorical equivalence between domains and interpolative generalized closure spaces

Cites Work

• Rough concept lattices and domains
• Combinatorial representation and convex dimension of convex geometries
• Meet-distributive lattices and the anti-exchange closure
• Closure systems and their structure
• The lattices of closure systems, closure operators, and implicational systems on a finite set: A survey
• Closure lattices
• The categorical equivalence between algebraic domains and F-augmented closure spaces.
• Closure spaces and completions of posets
• Continuous Lattices and Domains
• Completely Distributive Complete Lattices
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