Splittings in GBL-algebras. II: The representable case

DOI10.1016/j.fss.2018.07.003zbMath1423.06051OpenAlexW2884218370MaRDI QIDQ2329011

Paolo Agliano

Publication date: 17 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.fss.2018.07.003

zbMATH Keywords

splitting algebrasrepresentable GBL-algebrasresiduated semilattices

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35) Ordered semigroups and monoids (06F05) Varieties of lattices (06B20)

Related Items (6)

Varieties of K-lattices ⋮ Rotation logics ⋮ Varieties of BL-algebras. III: Splitting algebras ⋮ Splittings in subreducts of hoops ⋮ Splittings in GBL-algebras. I: The general case ⋮ Projectivity in (bounded) commutative integral residuated lattices

Uses Software

• Pseudo Hoops

Cites Work

• Ideals in universal algebras
• Varieties of BL-algebras
• Every linear pseudo BL-algebra admits a state
• Aglianò-Montagna type decomposition of linear pseudo hoops and its applications
• Komori's characterization and top varieties of GMV-algebras
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Representable biresiduated lattices
• Varieties of BL-algebras. II
• Varieties of BL-algebras. I: General properties.
• Basic hoops: an algebraic study of continuous t-norms
• The Blok-Ferreirim theorem for normal GBL-algebras and its application
• On decomposition of pseudo BL-algebras
• THE STRUCTURE OF RESIDUATED LATTICES
• Cyclic Elements in MV‐Algebras and Post Algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• Top Varieties of Generalized MV-Algebras and Unital Lattice-Ordered Groups
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