Profinite completions and MacNeille completions of finitely presented MV-algebras

DOI10.1142/S0219498822500785OpenAlexW3115975228MaRDI QIDQ5065668

Jean B. Nganou

Publication date: 22 March 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822500785

zbMATH Keywords

MacNeille completionprofinite MV-algebrafinitely presented MV-algebraresidually finite MV-algebrastone algebra

Mathematics Subject Classification ID

Lattices and duality (06D50) Stone spaces (Boolean spaces) and related structures (06E15) MV-algebras (06D35)

Cites Work

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• Hopfian \(\ell\)-groups, MV-algebras and AF \({\mathrm{C}^{*}}\)-algebras
• The dual adjunction between MV-algebras and Tychonoff spaces
• Stone MV-algebras and strongly complete MV-algebras
• Advanced Łukasiewicz calculus and MV-algebras
• Natural extensions and profinite completions of algebras
• Profinite completions and canonical extensions of Heyting algebras
• Profinite MV-algebras and multisets.
• Comparison of MacNeille, canonical, and profinite completions
• Grothendieck's problems concerning profinite completions and representations of groups.
• Cauchy completions of MV-algebras.
• Algebraic foundations of many-valued reasoning
• Duality, projectivity, and unification in Łukasiewicz logic and MV-algebras
• Representations lineaires et compactification profinie des groups discrets

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