A Representation Theory for Prime and Implicative Semilattices

DOI10.2307/1994713zbMath0175.01402OpenAlexW4254219095MaRDI QIDQ5563388

Raymond Balbes

Publication date: 1969

Full work available at URL: https://doi.org/10.2307/1994713

zbMATH Keywords

representation theoryimplicative semilatticesprime semilattices

Mathematics Subject Classification ID

Semilattices (06A12)

Related Items (24)

Representable posets ⋮ One-Variable Equational Compactness in Partially Distributive Semilattices with Pseudocomplementation ⋮ Finite distributive semilattices ⋮ CLOSURE OPERATORS, FRAMES AND NEATEST REPRESENTATIONS ⋮ Prime and implicative semilattices ⋮ On the logic of distributive nearlattices ⋮ Non-elementary classes of representable posets ⋮ Fragments of quasi-Nelson: residuation ⋮ No finite axiomatizations for posets embeddable into distributive lattices ⋮ Priestley-style duality for DN-algebras ⋮ Pseudo-complemented modular semilattices ⋮ Conjunctive join-semilattices ⋮ Weakly distributive semilattices ⋮ On separation properties in semilattices ⋮ Unnamed Item ⋮ Distributivity in semilattices ⋮ Recursive axiomatizations for representable posets ⋮ On the definition of distributive semilattices ⋮ Modular and Distributive Semilattices ⋮ Quasicomplemented semilattices ⋮ Injective hulls in the category of mildly distributive semilattices ⋮ The space of minimal prime ideals in a 0-distributive semilattice ⋮ RECURSIVE AXIOMATISATIONS FROM SEPARATION PROPERTIES ⋮ Existence of prime ideals and ultrafilters in partially ordered sets

Cites Work

• Pseudo-complements in semi-lattices
• Logic as Mathematical Science
• Implicative Semi-Lattices
• A Property of Free Boolean Algebras
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