On involutive FL\(_{e}\)-monoids

DOI10.1007/S00153-012-0295-6zbMath1284.06035OpenAlexW2129705822MaRDI QIDQ1938395

Hiroakira Ono, Sándor Jenei

Publication date: 4 February 2013

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-012-0295-6

zbMATH Keywords

classificationsubstructural logictwin-rotationcone representationFL\(_e\)-monoid

Mathematics Subject Classification ID

Commutative semigroups (20M14) Other algebras related to logic (03G25) Ordered semigroups and monoids (06F05) Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) (03B47)

Related Items (3)

A classification of certain group-like \(\mathrm{FL}_e\)-chains ⋮ On a characterization of representable uninorms ⋮ Construction Methods for Uninorms via Rotation, Rotation-Annihilation, and Twin Rotation

Cites Work

• Erratum to: ``On the reflection invariance of residuated chains
• Residuated lattices. An algebraic glimpse at substructural logics
• Residuated lattices of size \(\leq 12\)
• On the reflection invariance of residuated chains
• Basic concepts for a theory of evaluation: The aggregative operator
• On the structure of rotation-invariant semigroups
• On the relationship between the rotation construction and ordered abelian groups
• Structural Description of a Class of Involutive Uninorms via Skew Symmetrization
• Algebraizable logics
• Substructural fuzzy logics
• Uninorm Basics
• Naturally Totally Ordered Commutative Semigroups

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