Canonical decompositions in complete lattices

DOI10.1007/BF01673824zbMath0429.06001MaRDI QIDQ1137602

V. A. Gorbunov

Publication date: 1979

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

Full work available at URL: https://eudml.org/doc/187027

zbMATH Keywords

complete latticecanonical representationcompletely semidistributive elementdually atomic lattice

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Representation theory of lattices (06B15)

Related Items (11)

A class of infinite convex geometries ⋮ Ideals in atomic posets ⋮ The complete principal divisor lattices ⋮ From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories ⋮ The Jónsson-Kiefer property ⋮ Decompositions in complete lattices. III: Unique irredundant decompositions and convex geometries ⋮ Decompositions in complete lattices. II: Replaceable irredundant decompositions ⋮ Open questions related to the problem of Birkhoff and Maltsev ⋮ Intervals in lattices of \(\kappa\)-meet-closed subsets ⋮ On the existence of decompositions in lattices ⋮ Join-semidistributive lattices and convex geometries.

Cites Work

• Covers in lattices of quasivarieties and independent axiomatizability
• Rings of sets
• Decomposition Theory for Lattices Without Chain Conditions
• Finite Sublattices of a Free Lattice
• Congruence Relations in Semi-Lattices
• Sublattices of a Free Lattice
• On relative maximal ideals in lattices
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