Generalizations of Boolean products for lattice-ordered algebras

DOI10.1016/J.APAL.2009.05.005zbMath1181.06005OpenAlexW2076261541MaRDI QIDQ1035658

Peter Jipsen

Publication date: 4 November 2009

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2009.05.005

zbMATH Keywords

posetsbasic logicresiduated latticesgeneralized BL-algebrasgeneralized MV-algebras

Mathematics Subject Classification ID

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

Related Items (13)

Boolean lifting property in quantales ⋮ Boolean-like algebras ⋮ Reticulation of a quantale, pure elements and new transfer properties ⋮ Some modal and temporal translations of generalized basic logic ⋮ Unnamed Item ⋮ Sheaves and duality ⋮ Embedding theorems for classes of GBL-algebras ⋮ Poset product and BL-chains ⋮ Poset product and BL-algebras ⋮ Flat topology on the spectra of quantales ⋮ On finite MTL-algebras that are representable as poset products of Archimedean chains ⋮ Compatible operations on commutative residuated lattices ⋮ Poset products as relational models

Cites Work

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• On the structure of generalized BL-algebras
• Residuated lattices. An algebraic glimpse at substructural logics
• Embedding theorems for classes of GBL-algebras
• Boolean products of BL-algebras
• Boolean products of lattices
• Algebraic foundations of many-valued reasoning
• The Blok-Ferreirim theorem for normal GBL-algebras and its application
• Sheaf Constructions and Their Elementary Properties

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