A non-associative generalization of MV-algebras

DOI10.2478/s12175-007-0024-5zbMath1150.06012OpenAlexW2004451289MaRDI QIDQ5422708

Jan Kühr, Ivan Chajda

Publication date: 30 October 2007

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/34648

zbMATH Keywords

MV-algebra\(\lambda \)-lattice

Mathematics Subject Classification ID

Partial orders, general (06A06) Other algebras related to logic (03G25) MV-algebras (06D35)

Related Items (8)

Unnamed Item ⋮ Unnamed Item ⋮ Study strong Sheffer stroke non-associative MV-algebras by fuzzy filters ⋮ On non-associative generalizations of MV-algebras and lattice-ordered commutative loops ⋮ Properties of non-associative MV-algebras ⋮ Inflationary BL-algebras obtained from 2-dimensional general overlap functions ⋮ Residuated structures and orthomodular lattices ⋮ Operations and structures derived from non-associative MV-algebras

Cites Work

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• Directoids: Algebraic models of up-directed sets
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Generalized MV-algebras
• Algebraic foundations of many-valued reasoning
• Cancellative residuated lattices
• Implication in MV-algebras
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• $\lambda$-lattices
• Rotations of $\lambda$-lattices
• A non-commutative generalization of MV-algebras

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