DRl-semigroups and MV-algebras

DOI10.1023/A:1022801907138zbMath0952.06014OpenAlexW17179744MaRDI QIDQ4515309

Jiří Rachůnek

Publication date: 13 November 2000

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

Full work available at URL: https://doi.org/10.1023/a:1022801907138

zbMATH Keywords

polarabelian \(l\)-group\(MV\)-algebra\(DRl\)-semigroup

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered semigroups and monoids (06F05) Many-valued logic (03B50) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (17)

Isometries and direct decompositions of pseudo MV-algebras ⋮ A non-commutative generalization of MV-algebras ⋮ Unnamed Item ⋮ A graded approach to cardinal theory of finite fuzzy sets. I: Graded equipollence ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Monadic bounded commutative residuated \(\ell\)-monoids ⋮ Modal operators on bounded commutative residuated ℓ-monoids ⋮ Strong NMV-algebras, commutative basic algebras and naBL-algebras ⋮ Probabilistic averaging in bounded commutative residuated \(\ell\)-monoids ⋮ R 0-algebras and weak dually residuated lattice ordered semigroups ⋮ Negation in bounded commutative DRℓ-monoids ⋮ Local bounded commutative residuated ℓ-monoids ⋮ Interior and closure operators on bounded residuated lattice ordered monoids ⋮ Modal operators on commutative residuated lattices ⋮ Subdirect product decompositions of MV-algebras

Cites Work

• Dually residuated lattice ordered semigroups. II
• Dually residuated lattice ordered semigroups. III
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• On complete $MV$-algebras
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