Some Properties of Residuated Lattices

DOI10.1023/A:1022935811257zbMath1014.03510OpenAlexW109420735MaRDI QIDQ4802833

Radim Bělohlávek

Publication date: 23 April 2003

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/30766

zbMATH Keywords

fuzzy logicvarietycongruenceresiduated lattice

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Equational logic, Mal'tsev conditions (08B05) Subalgebras, congruence relations (08A30) Operations and polynomials in algebraic structures, primal algebras (08A40) Ordered semigroups and monoids (06F05)

Related Items (16)

Unnamed Item ⋮ Involutive right-residuated l-groupoids ⋮ Topology on BL-algebras ⋮ Chain conditions on BL-algebras ⋮ Preservation of properties of residuated algebraic structure by structures for the partial fuzzy set theory ⋮ On fuzzy congruence relation in residuated lattices ⋮ Some types of filters in MTL-algebras ⋮ On EMV-algebras with square roots ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(n\)-fold filters of MTL-algebras ⋮ Join-completions of \(L\)-ordered sets ⋮ Ultra LI-ideals in lattice implication algebras and MTL-algebras ⋮ Some results on fuzzy \(Z_{L}\)-continuous(algebraic) poset ⋮ Results on equality algebras ⋮ Semitopological BL-algebras and MV-algebras

Cites Work

• Metamathematics of fuzzy logic
• On subtractive varieties. I
• On the regularity of MV-algebras and Wajsberg hoops
• On the fundamentals of fuzzy set theory
• The logic of inexact concepts
• Kongruenzklassengeometrien
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• On Fuzzy Logic I Many‐valued rules of inference
• Two Mal'cev-type theorems in universal algebra
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