On semiconic idempotent commutative residuated lattices

DOI10.1007/s00012-020-00666-6zbMath1481.06032OpenAlexW3036551698MaRDI QIDQ776990

Wei Chen

Publication date: 13 July 2020

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-020-00666-6

zbMATH Keywords

idempotentamalgamationcategory equivalenceepimorphismresiduationBrouwerian algebrassemiconicstrong nucleusSugihara monoid

Mathematics Subject Classification ID

Other algebras related to logic (03G25) Ordered semigroups and monoids (06F05) Categories of algebras (08C05) Abstract algebraic logic (03G27)

Cites Work

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• Conical residuated lattice-ordered idempotent monoids
• Residuated lattices. An algebraic glimpse at substructural logics
• Positive Sugihara monoids
• Semiconic idempotent residuated structures
• Craig's theorem in superintuitionistic logics and amalgamable varieties of pseudo-Boolean algebras
• A category equivalence for odd Sugihara monoids and its applications
• Epimorphisms in varieties of residuated structures
• Variety generated by conical residuated lattice-ordered idempotent monoids
• The intersection property of amalgamations
• Representable idempotent commutative residuated lattices
• Commutative idempotent residuated lattices
• Idempotent residuated structures: Some category equivalences and their applications

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