Derivations on algebras of a non-commutative generalization of the Łukasiewicz logic

DOI10.1016/j.fss.2017.01.013zbMath1380.06010OpenAlexW2581822840WikidataQ59288402 ScholiaQ59288402MaRDI QIDQ1697978

Dana Šalounová, Jiří Rachůnek

Publication date: 21 February 2018

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2017.01.013

zbMATH Keywords

MV-algebraadditive mappingBoolean elementGMV-algebraderivation on a GMV-algebra

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) MV-algebras (06D35)

Related Items (4)

On Boolean elements and derivations in 2-dimension linguistic lattice implication algebras ⋮ Unnamed Item ⋮ Derivation operators on generalized algebras of BCK logic ⋮ Multiplicative and implicative derivations on residuated multilattices

Cites Work

• A note on derivations on basic algebras
• Derivations of MV-algebras
• On derivations and their fixed point sets in residuated lattices
• Non-commutative Łukasiewicz propositional logic
• Rings in which derivations satisfy certain algebraic conditions
• On derivations of BCI-algebras.
• Prime spectra of non-commutative generalizations of MV-algebras.
• Fuzzy prime ideals of pseudo-MV algebras
• Derivations in Prime Rings
• Algebraic Analysis of Many Valued Logics
• A non-commutative generalization of MV-algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• States on pseudo MV-algebras
• On pseudo MV-algebras
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