Representation of Hilbert algebras and implicative semilattices

DOI10.2478/BF02475182zbMath1034.03056MaRDI QIDQ1419666

Sergio Arturo Celani

Publication date: 19 January 2004

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

dualityBoolean ringstopological representationHilbert algebrasimplicative semilattices

Mathematics Subject Classification ID

Other algebras related to logic (03G25) Stone spaces (Boolean spaces) and related structures (06E15) Semilattices (06A12)

Related Items (13)

On the free implicative semilattice extension of a Hilbert algebra ⋮ Diego's theorem for nuclear implicative semilattices ⋮ Spectral-like duality for distributive Hilbert algebras with infimum ⋮ Esakia style duality for implicative semilattices ⋮ Hilbert algebras with Hilbert-Galois connections ⋮ Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices. ⋮ Monotonic distributive semilattices ⋮ EXISTENTIALLY CLOSED BROUWERIAN SEMILATTICES ⋮ A note on Hilbert algebras and their related generalized Esakia spaces ⋮ Representation and duality for Hilbert algebras ⋮ Algebraic semantics of the \(\left\{ \rightarrow ,\square \right\} \)-fragment of propositional lax logic ⋮ Easkia Duality and Its Extensions ⋮ Hilbert algebras with a modal operator \(\diamondsuit\)

Cites Work

• A note on homomorphisms of Hilbert algebras
• Maximal Deductive Systems and Injective Objects in the Category of Hilbert Algebras
• Brouwerian Semilattices
• Implicative Semi-Lattices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Representation of Hilbert algebras and implicative semilattices