Modules with fusion and implication based over distributive lattices: representation and duality

DOI10.1515/MS-2022-0020OpenAlexW3045724177MaRDI QIDQ2122479

William J. Zuluaga Botero, Ismael Calomino

Publication date: 6 April 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.14500

zbMATH Keywords

distributive latticemodulepriestley-like duality

Mathematics Subject Classification ID

Structure and representation theory of distributive lattices (06D05) Lattices and duality (06D50) Other generalizations of distributive lattices (06D75)

Cites Work

• Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras
• Residuated lattices. An algebraic glimpse at substructural logics
• Remarks on Priestley duality for distributive lattices
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Connection between MV\(_n\) algebras and \(n\)-valued Lukasiewicz-Moisil algebras. I
• Resolution-based decision procedures for the universal theory of some classes of distributive lattices with operators
• Bounded distributive lattices with fusion and implication
• Distributive lattices with an operator
• Duality for algebras of relevant logics
• Simple and subdirectly irreducibles bounded distributive lattices with unary operators
• Varieties of complex algebras
• Ordered Topological Spaces and the Representation of Distributive Lattices
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