Semidistributivity, prime ideals and the subbase lemma

DOI10.1007/BF02844668zbMath0779.06001WikidataQ124818884 ScholiaQ124818884MaRDI QIDQ1202751

Marcel Erné

Publication date: 3 February 1993

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

zbMATH Keywords

prime idealjoin-semidistributive elementsubbase lemma

Mathematics Subject Classification ID

Partial orders, general (06A06) Compactness (54D30) Lattice ideals, congruence relations (06B10) Axiom of choice and related propositions (03E25)

Related Items (2)

Unnamed Item ⋮ Ideals in atomic posets

Cites Work

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• A partial order generalization of Alexander's subbase theorem
• Distributors and Wallmanufacture
• On the existence of prime ideals in semidistributive lattices
• Prime elements from prime ideals
• Weak distributive laws and their role in lattices of congruences and equational theories
• Semiprime ideals in general lattices
• Finite Sublattices of a Free Lattice
• The Power of the Ultrafilter Theorem
• Variants of RADO'S Selection Lemma and their Applications
• Congruence Relations in Semi-Lattices
• Ideals in Partially Ordered Sets

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