On the existence of decompositions in lattices

DOI10.1007/BF01191788zbMath0516.06004MaRDI QIDQ1052349

Marcel Erné

Publication date: 1983

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

zbMATH Keywords

complete latticeupper continuous latticecompletely meet-irreducible elementsirredundant decompositions

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Structure theory of lattices (06B05)

Related Items (10)

Infinite distributive laws versus local connectedness and compactness properties ⋮ Ideals in atomic posets ⋮ Decompositions in complete lattices. III: Unique irredundant decompositions and convex geometries ⋮ Web spaces and worldwide web spaces: topological aspects of domain theory ⋮ Bigeneration in complete lattices and principal separation in ordered sets ⋮ Decompositions in complete lattices. II: Replaceable irredundant decompositions ⋮ Unnamed Item ⋮ Generalized continuous closure spaces. I: Meet preserving closure operations ⋮ Convergence structures induced by scales ⋮ Meet decompositions in complete lattices

Cites Work

• Unnamed Item
• Verbandstheoretische Kennzeichnung vollständiger Mengenringe
• Canonical decompositions in complete lattices
• Basic intervals in the lattice of topologies
• Dependence of finiteness conditions in distributive lattices
• The category of complete algebraic lattices
• Das Halbordnungssystem der topologischen Räume auf einer Menge
• A characterization of ΣΔ-rings of subsets

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