Stone MV-algebras and strongly complete MV-algebras

DOI10.1007/s00012-016-0421-0zbMath1420.06021arXiv1502.02207OpenAlexW2111282843MaRDI QIDQ522224

Jean B. Nganou

Publication date: 13 April 2017

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02207

zbMATH Keywords

ultrafilterStone-Čech compactificationprofinite completionprofinite MV-algebrarank of maximal idealStone MV-algebrastrongly complete MV-algebratopological MV-algebra

Mathematics Subject Classification ID

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

Related Items (8)

Two notions of MV-algebraic semisimplicity relative to fixed MV-chains ⋮ Profinite completions and MacNeille completions of finitely presented MV-algebras ⋮ Pro-compactly finite MV-algebras ⋮ Ideals of semisimple MV-algebras and convergence along set-theoretic filters ⋮ Categorical properties of compact Hausdorff MV-algebras ⋮ Notes on topological BL-algebras ⋮ Topological characterization of filter topological MV-algebras ⋮ Unnamed Item

Cites Work

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• On the proof that compact Hausdorff Boolean algebras are powersets
• Compact Hausdorff Heyting algebras
• Advanced Łukasiewicz calculus and MV-algebras
• Stone duality for Dedekind \(\sigma\)-complete \(\ell\)-groups with order-unit
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Profinite MV-algebras and multisets.
• Topological \(\operatorname{FL}_{\operatorname{ew}}\)-algebras
• Profinite Heyting algebras
• Complete and atomic algebras of the infinite valued Łukasiewicz logic
• Topological MV-algebras
• A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
• Algebraic foundations of many-valued reasoning
• Hyperfinite MV-algebras
• Profinite Orthomodular Lattices
• One Dimensional Topological Lattices
• The Prime Spectrum of an MV‐Algebra
• Topological Lattices
• Profinite Groups
• On approximations of groups, group actions, and Hopf algebras.

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