The lattice of complete ideals of an atomic lattice

DOI10.1007/BF02483907zbMath0494.06004OpenAlexW2059148283MaRDI QIDQ1168991

Erik A. Schreiner, Alan A. Bishop

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02483907

zbMATH Keywords

covering propertylattice of idealsdual modular pairsatomistic latticedual modularityfinite distributivefinite modularjoin of complete idealslattice completionlattice of complete idealsstrongly planar

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Lattice ideals, congruence relations (06B10)

Cites Work

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• On finite-modular atomistic lattices
• A universal mapping property for a lattice completion
• Regular Embeddings which Preserve Lattice Structure
• Standard ideals in lattices

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