A determination principle for algebras of \(n\)-valued Łukasiewicz logic

DOI10.1016/j.jalgebra.2008.03.038zbMath1155.03046OpenAlexW1982777781MaRDI QIDQ958991

Ioana Leuştean

Publication date: 10 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.03.038

zbMATH Keywords

MV-algebrasPost algebrasŁukasiewicz-Moisil algebrasBoolean ideals

Mathematics Subject Classification ID

MV-algebras (06D35) Many-valued logic (03B50) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30) Logical aspects of ?ukasiewicz and Post algebras (03G20)

Cites Work

• Lukasiewicz-Moisil algebras
• Connections between \(\text{MV}_n\) algebras and \(n\)-valued Lukasiewicz-Moisil algebras. II
• Wajsberg algebras and Post algebras
• Connection between MV\(_n\) algebras and \(n\)-valued Lukasiewicz-Moisil algebras. I
• Towards a probability theory based on Moisil logic
• Algebraic foundations of many-valued reasoning
• Proper n-valued Lukasiewicz algebras as S-algebras of Lukasiewicz n- valued propositional calculi
• One chain generated varieties of MV-algebras
• On the characterization of centered Lukasiewicz algebras
• Algebraic Analysis of Many Valued Logics
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