Hilbert algebras with supremum

DOI10.1007/S00012-012-0178-ZzbMath1254.03117OpenAlexW2045286374MaRDI QIDQ422345

Daniela Montangie, Sergio Arturo Celani

Publication date: 16 May 2012

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

Full work available at URL: https://doi.org/10.1007/s00012-012-0178-z

zbMATH Keywords

topological representationHilbert algebrasjoin semilattices

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Structure and representation theory of distributive lattices (06D05) Other algebras related to logic (03G25)

Related Items (12)

Finite distributive semilattices ⋮ Spectral-like duality for distributive Hilbert algebras with infimum ⋮ Characterizations of near-Heyting algebras ⋮ Hilbert algebras with Hilbert-Galois connections ⋮ Semi maximal filter in Hilbert algebra ⋮ Stonean Hilbert algebra ⋮ Prelinear Hilbert algebras ⋮ On prelinear Hilbert algebras with successor ⋮ Variations of the free implicative semilattice extension of a Hilbert algebra ⋮ Algebraic semantics of the \(\left\{ \rightarrow ,\square \right\} \)-fragment of propositional lax logic ⋮ Hilbert algebras with a modal operator \(\diamondsuit\) ⋮ Some results in local Hilbert algebras

Cites Work

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• Representation and duality for Hilbert algebras
• A note on homomorphisms of Hilbert algebras
• Topological duality for Tarski algebras
• Duality for finite Hilbert algebras

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