Complete and atomic algebras of the infinite valued Łukasiewicz logic

DOI10.1007/BF00370678zbMath0753.03026MaRDI QIDQ1189890

Roberto L. O. Cignoli

Publication date: 27 September 1992

Published in: Studia Logica (Search for Journal in Brave)

zbMATH Keywords

Łukasiewicz logicWajsberg algebradistributive lawscomplete algebraatomic algebraWajsberg chain

Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Many-valued logic (03B50) Logical aspects of ?ukasiewicz and Post algebras (03G20)

Related Items (15)

Local MV-algebras ⋮ Locally \(\sigma \)-complete and locally complete EMV-algebras ⋮ Fuzzy implicative and Boolean ideals of \(MV\)-algebras ⋮ Profinite MV-algebras and multisets. ⋮ Primary decomposition of A-ideals in MV-modules ⋮ State BL-algebras ⋮ Unnamed Item ⋮ Stone MV-algebras and strongly complete MV-algebras ⋮ MV-observables and MV-algebras ⋮ Weakly divisible MV-algebras and product ⋮ On complete $MV$-algebras ⋮ On archimedean MV-algebras ⋮ Complete generators and maximal completions of MV-algebras ⋮ Radical classes of MV-algebras ⋮ Bounded commutative residuated \(\ell\)-monoids with general comparability and states

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• W-algebras which are Boolean products of members of SR[1 and CW- algebras]
• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Super-Łukasiewicz propositional logics
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