Ideals in ordered sets, a unifying approach

DOI10.1007/BF02874708zbMath1150.06003MaRDI QIDQ997537

Josef Niederle

Publication date: 7 August 2007

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

\(S\)-idealIdeal\(S\)-distributive ordered setsAlgebraic topped intersection structureDoyle pseudoidealFrink idealPrime \(S\)-idealPrime \(S\)-ideal theoremPseudoideal

Mathematics Subject Classification ID

Partial orders, general (06A06) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (2)

On derivations of partially ordered sets ⋮ Canonical extensions of posets.

Cites Work

• A uniform approach to inductive posets and inductive closure
• Boolean and distributive ordered sets: Characterization and representation by sets
• Existence of prime ideals and ultrafilters in partially ordered sets
• Pseudo-Complements in Posets
• Ideals in Partially Ordered Sets
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