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On congruence lattices of lattices
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf02023870openalex-snapshot
Ideals and congruence relations in lattices
inferredcites →https://doi.org/10.1090/s0002-9947-1948-0027263-2openalex-snapshot
Representations of lattices by sets
inferredcites →https://doi.org/10.1215/s0012-7094-42-00942-6openalex-snapshot
Theory of equivalence relations
inferredcites →https://doi.org/10.18910/9805openalex-snapshot
Direct, subdirect decompositions and congruence relations
inferredcites →https://doi.org/10.2140/pjm.1960.10.787openalex-snapshot
Lattices whose congruences form a boolean algebra
inferredcites →https://doi.org/10.4064/fm-36-1-137-142openalex-snapshot
On a characterization of the lattice of all ideals of a Boolean ring
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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The Strong Independence Theorem for Automorphism Groups and Congruence Lattices of Arbitrary Lattices
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The Complete Congruence Lattice of a Complete Lattice
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On the Congruence Lattice of a Lattice
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On Distributive Join Semilattices
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Lattices 1 + L as $$\operatorname {L}_{\text{q}}(\mathcal K)$$
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Representing Distributive Dually Algebraic Lattices
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The Role of Order in Lattice Theory
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Congruence lattices of planar lattices
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Dependence of finiteness conditions in distributive lattices
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Congruence lattices of finitep-algebras
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On the length of the congruence lattice of a lattice
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The submodule lattice of a cyclic module
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On the length of the congruence lattice of a lattice
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On the algorithmic construction of the 1960 sectional complement
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A survey of tensor products and related constructions in two lectures
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On the number of join-irreducibles in a congruence representation of a finite distributive lattice
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Finite lattices and congruences. A survey
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Finite distributive lattices are congruence lattices of almost-geometric lattices
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The order of principal congruences of a bounded lattice
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Representing some families of monotone maps by principal lattice congruences
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Complete congruence lattices of two related modular lattices
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My collaboration with E. T. Schmidt spanning six decades
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Some preliminary results on the set of principal congruences of a finite lattice
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Conjunctive join-semilattices
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The dimension monoid of a lattice
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Notes on sectionally complemented lattices. I
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Notes on sectionally complemented lattices. II
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Notes on sectionally complemented lattices. III
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Notes on sectionally complemented lattices. IV How far does the Atom Lemma go?
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Representing an isotone map between two bounded ordered sets by principal lattice congruences
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An extension theorem for planar semimodular lattices
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On the Largest Numbers of Congruences of Finite Lattices
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A solution to Dilworth's congruence lattice problem
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Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. II. Interval ordering
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Non-representable distributive semilattices
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Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. I. Interval equivalence
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Some combinatorial aspects of congruence lattice representations
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CLOSURE OPERATORS, FRAMES AND NEATEST REPRESENTATIONS
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Congruence Representations of Join-homomorphisms of Finite Distributive Lattices: Size and Breadth
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Central relations on lattices
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Isotone Maps as Maps of Congruences I. Abstract Maps
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Strongly reflexive lattices
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Compatible Relations of Modular and Orthomodular Lattices
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Congruence Lattices of Small Planar Lattices
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Small representations of finite distributive lattices as congruence lattices
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A uniform refinement property for congruence lattices
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Congruence-preserving extensions of finite lattices to sectionally complemented lattices
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Modular and Distributive Semilattices
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On Complete Congruence Lattices of Complete Lattices
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Some lattice-ordered algebras on which all congruences are principal
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POSET REPRESENTATIONS OF DISTRIBUTIVE SEMILATTICES
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CONGRUENCE FD-MAXIMAL VARIETIES OF ALGEBRAS
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Injective and projective semimodules over involutive semirings
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Circles and crossing planar compact convex sets
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The graphs of join-semilattices and the shape of congruence lattices of particle lattices
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Multiple Congruences of Lattices By Gluing
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Small Representations of Finite Distributive Lattices as Congruence Lattice
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A convex combinatorial property of compact sets in the plane and its roots in lattice theory
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Congrunce lattices of rectangular lattices
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Congruence lattices of free lattices in non-distributive varieties
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Free trees and the optimal bound in Wehrung's theorem
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Congruence Lattices of Finite Semimodular Lattices
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Congruence Class Sizes in Finite Sectionally Complemented Lattices
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Infinite combinatorial issues raised by lifting problems in universal algebra
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Categories of partial algebras for critical points between varieties of algebras
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The order of principal congruences of a bounded lattice
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The graphs of join-semilattices and the shape of congruence lattices of particle lattices
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Operations preserving equivalence relations
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Preservation of discrete structures. A metric point of view
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Revisiting the representation theorem of finite distributive lattices with principal congruences
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Congruence lifting of diagrams of finite Boolean semilattices requires large congruence varieties
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Congruence amalgamation of lattices
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Revisiting the representation theorem of finite distributive lattices with principal congruences. A \emph{Proof-by-Picture} approach
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