MVW-rigs and product MV-algebras

DOI10.1080/11663081.2018.1534795zbMath1439.06008OpenAlexW2902226637MaRDI QIDQ5742700

Alejandro Estrada, Yuri A. Poveda

Publication date: 8 May 2019

Published in: Journal of Applied Non-Classical Logics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/11663081.2018.1534795

zbMATH Keywords

prime idealMV-algebraprime spectrumMVW-rig

Mathematics Subject Classification ID

Lower separation axioms ((T_0)--(T_3), etc.) (54D10) MV-algebras (06D35) Topological lattices (06B30) Varieties of lattices (06B20)

Related Items (2)

A set-theoretic proof of the representation of MV-algebras by sheaves ⋮ Categorical equivalence between \(\mathrm{PMV}_f \)-product algebras and semi-low \(f_u \)-rings

Cites Work

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• A representation theorem for integral rigs and its applications to residuated lattices.
• On the equivalence between MV-algebras and \(l\)-groups with strong unit
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• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Algebraic foundations of many-valued reasoning
• An algebraic approach to propositional fuzzy logic
• Subreducts of MV-algebras with product and product residuation
• A New Proof of the Completeness of the Lukasiewicz Axioms
• An extension of the Galois theory of Grothendieck
• Atomless Parts of Spaces.
• Adding structure to MV-algebras

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