The lattice structure of some Lukasiewicz algebras

DOI10.1007/BF02483844zbMath0495.03045MaRDI QIDQ1169459

M. S. de Gallego, Roberto L. O. Cignoli

Publication date: 1981

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

zbMATH Keywords

Kleene algebrasmodal operatorDe Morgan algebrascomplemented elementsfive-valued Lukasiewicz algebrasfour-valued and three-valued Lukasiewicz algebras

Mathematics Subject Classification ID

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

Related Items

The cylindric algebras of three-valued logic ⋮ The class of Kleene algebras satisfying an interpolation property and Nelson algebras ⋮ REPRESENTING REGULAR PSEUDOCOMPLEMENTED KLEENE ALGEBRAS BY TOLERANCE-BASED ROUGH SETS ⋮ Anshakov-Rychkov algebras ⋮ Some Operators in Kripke Models with an Involution ⋮ Commutative integral bounded residuated lattices with an added involution

Cites Work

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• P-algebras, an abstraction from Post algebras
• The lattice of global sections of sheaves of chains over Boolean spaces
• Logics Which Are Characterized by Subresiduated Lattices
• Boolean elements in Lukasiewicz algebras, I
• Boolean elements in Lukasiewicz algebras, II