Decompositions in complete lattices. II: Replaceable irredundant decompositions

DOI10.1007/s10469-017-9443-8zbMath1386.06005OpenAlexW2763161366MaRDI QIDQ683375

M. V. Schwidefsky

Publication date: 6 February 2018

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-017-9443-8

zbMATH Keywords

latticejoin-semidistributiveconsistent latticeirredundant decompositionlower continuoussemimodularstrongly atomicupper continuousweakly atomic

Mathematics Subject Classification ID

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

Related Items (2)

Composition series of arbitrary cardinality in modular lattices and abelian categories ⋮ Decompositions in complete lattices. III: Unique irredundant decompositions and convex geometries

Cites Work

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• Meet decompositions in complete lattices
• On the existence of decompositions in lattices
• Matchings and Radon transforms in lattices. I: Consistent lattices
• Canonical decompositions in complete lattices
• Decompositions in complete lattices. III: Unique irredundant decompositions and convex geometries
• Decomposition Theory for Lattices Without Chain Conditions
• Decomposition Theory for Nonsemimodular Lattices
• STRONGNESS IN LATTICES

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