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- Congruence_lattice_problem abstract "In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most famous and long-standing open problems in lattice theory; it had a deep impact on the development of lattice theory itself. The conjecture that every distributive lattice is a congruence lattice is true for all distributive lattices with at most ℵ1 compact elements, but F. Wehrung provided a counterexample for distributive lattices with ℵ2 compact elements using a construction based on Kuratowski's free set theorem.".
- Congruence_lattice_problem wikiPageID "9755564".
- Congruence_lattice_problem wikiPageLength "34610".
- Congruence_lattice_problem wikiPageOutDegree "89".
- Congruence_lattice_problem wikiPageRevisionID "646359544".
- Congruence_lattice_problem wikiPageWikiLink Aleph_number.
- Congruence_lattice_problem wikiPageWikiLink Alfred_Tarski.
- Congruence_lattice_problem wikiPageWikiLink András_P_Huhn.
- Congruence_lattice_problem wikiPageWikiLink Boolean_algebra_(structure).
- Congruence_lattice_problem wikiPageWikiLink Cardinality.
- Congruence_lattice_problem wikiPageWikiLink Category:Lattice_theory.
- Congruence_lattice_problem wikiPageWikiLink Compact_element.
- Congruence_lattice_problem wikiPageWikiLink Complemented_lattice.
- Congruence_lattice_problem wikiPageWikiLink Congruence-permutable_algebra.
- Congruence_lattice_problem wikiPageWikiLink Congruence_relation.
- Congruence_lattice_problem wikiPageWikiLink Countable_set.
- Congruence_lattice_problem wikiPageWikiLink Diagram_(category_theory).
- Congruence_lattice_problem wikiPageWikiLink Direct_limit.
- Congruence_lattice_problem wikiPageWikiLink Distributive_homomorphism.
- Congruence_lattice_problem wikiPageWikiLink Distributive_lattice.
- Congruence_lattice_problem wikiPageWikiLink Distributivity_(order_theory).
- Congruence_lattice_problem wikiPageWikiLink Equivalence_of_categories.
- Congruence_lattice_problem wikiPageWikiLink Field_(mathematics).
- Congruence_lattice_problem wikiPageWikiLink Garrett_Birkhoff.
- Congruence_lattice_problem wikiPageWikiLink Group_(mathematics).
- Congruence_lattice_problem wikiPageWikiLink Hans_Dobbertin.
- Congruence_lattice_problem wikiPageWikiLink Ideal_(order_theory).
- Congruence_lattice_problem wikiPageWikiLink Ideal_(ring_theory).
- Congruence_lattice_problem wikiPageWikiLink Isomorphism.
- Congruence_lattice_problem wikiPageWikiLink John_von_Neumann.
- Congruence_lattice_problem wikiPageWikiLink Kazimierz_Kuratowski.
- Congruence_lattice_problem wikiPageWikiLink Kuratowskis_free_set_theorem.
- Congruence_lattice_problem wikiPageWikiLink Lattice_(order).
- Congruence_lattice_problem wikiPageWikiLink Limit_(category_theory).
- Congruence_lattice_problem wikiPageWikiLink Locally_finite_group.
- Congruence_lattice_problem wikiPageWikiLink Magma_(algebra).
- Congruence_lattice_problem wikiPageWikiLink Mathematics.
- Congruence_lattice_problem wikiPageWikiLink Maximal_semilattice_quotient.
- Congruence_lattice_problem wikiPageWikiLink Modular_lattice.
- Congruence_lattice_problem wikiPageWikiLink Module_(mathematics).
- Congruence_lattice_problem wikiPageWikiLink Monoid.
- Congruence_lattice_problem wikiPageWikiLink Morphism.
- Congruence_lattice_problem wikiPageWikiLink Normal_subgroup.
- Congruence_lattice_problem wikiPageWikiLink Partially_ordered_set.
- Congruence_lattice_problem wikiPageWikiLink Quotient_algebra.
- Congruence_lattice_problem wikiPageWikiLink Refinement_monoid.
- Congruence_lattice_problem wikiPageWikiLink Resolution_(logic).
- Congruence_lattice_problem wikiPageWikiLink Ring_(mathematics).
- Congruence_lattice_problem wikiPageWikiLink Robert_P._Dilworth.
- Congruence_lattice_problem wikiPageWikiLink Semilattice.
- Congruence_lattice_problem wikiPageWikiLink Signature_(logic).
- Congruence_lattice_problem wikiPageWikiLink Subset.
- Congruence_lattice_problem wikiPageWikiLink Uncountable_set.
- Congruence_lattice_problem wikiPageWikiLink Universal_algebra.
- Congruence_lattice_problem wikiPageWikiLink Vector_space.
- Congruence_lattice_problem wikiPageWikiLink Von_Neumann_regular_ring.
- Congruence_lattice_problem wikiPageWikiLinkText "Congruence lattice problem".
- Congruence_lattice_problem wikiPageWikiLinkText "Congruence_lattice_problem#Schmidt.27s_approach_via_distributive_join-homomorphisms".
- Congruence_lattice_problem wikiPageWikiLinkText "congruence lattice problem".
- Congruence_lattice_problem subject Category:Lattice_theory.
- Congruence_lattice_problem type Redirect.
- Congruence_lattice_problem comment "In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most famous and long-standing open problems in lattice theory; it had a deep impact on the development of lattice theory itself.".
- Congruence_lattice_problem label "Congruence lattice problem".
- Congruence_lattice_problem sameAs Q5160997.
- Congruence_lattice_problem sameAs m.02pr67w.
- Congruence_lattice_problem sameAs Q5160997.
- Congruence_lattice_problem wasDerivedFrom Congruence_lattice_problem?oldid=646359544.
- Congruence_lattice_problem isPrimaryTopicOf Congruence_lattice_problem.