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Ideals and congruence relations in lattices

https://doi.org/10.1007/bf02023870

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_20openalex-snapshot

The Imbedding Problem for Modular Lattices

inferredcites →https://doi.org/10.1007/978-1-4899-3558-8_39openalex-snapshot

The Structure of Relatively Complemented Lattices

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/10.21136/cpm.1955.108169openalex-snapshot

Congruence relations and weak projectivity in lattices

inferredcites →https://doi.org/10.2307/1968717openalex-snapshot

Lattices and Topological Spaces

inferredcites →https://doi.org/10.2307/1969187openalex-snapshot

The Imbedding Problem for Modular Lattices

inferredcites →https://doi.org/10.2307/1969328openalex-snapshot

The Structure of Relatively Complemented Lattices

inferredcites →https://doi.org/10.32917/hmj/1557367260openalex-snapshot

Canonical Subdirect Factorizations of Lattices

inferredcites →https://doi.org/10.3792/pia/1195573786openalex-snapshot

On the distributivity of a lattice of lattice-congruences

inferredcites →https://doi.org/10.5486/pmd.1958.5.3-4.11openalex-snapshot

Characterizations of relatively complemented distributive lattices

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/0-8176-4462-8openalex-snapshot

The Congruences of a Finite Lattice: A "Proof-by-Picture" Approach

inferred← citeshttps://doi.org/10.1007/978-1-4612-1612-4_4openalex-snapshot

The anatomy of an article

inferred← citeshttps://doi.org/10.1007/978-1-4612-1612-4_5openalex-snapshot

An AMS article

inferred← citeshttps://doi.org/10.1007/978-1-4612-2134-0_8openalex-snapshot

AMS documents and packages

inferred← citeshttps://doi.org/10.1007/978-1-4899-3558-8_43openalex-snapshot

Lattice Congruences and Dilworth’s Decomposition of Relatively Complemented Lattices

inferred← citeshttps://doi.org/10.1007/978-1-4899-6757-2openalex-snapshot

Math into TeX

inferred← citeshttps://doi.org/10.1007/978-1-4899-6757-2_2openalex-snapshot

Typing Your First Article

inferred← citeshttps://doi.org/10.1007/978-3-319-38798-7_1openalex-snapshot

Basic Concepts

inferred← citeshttps://doi.org/10.1007/978-94-010-1795-4_25openalex-snapshot

The Current Interest in Orthomodular Lattices

inferred← citeshttps://doi.org/10.1007/bf01044486openalex-snapshot

Congruences of weakly modular lattices

inferred← citeshttps://doi.org/10.1007/bf01061240openalex-snapshot

On Ockham algebras: Congruence lattices and subdirectly irreducible algebras

inferred← citeshttps://doi.org/10.1007/bf01110457openalex-snapshot

Section semicomplemented lattices

inferred← citeshttps://doi.org/10.1007/bf01111868openalex-snapshot

Eine Charakterisierung der fast schwach modularen Verbände

inferred← citeshttps://doi.org/10.1007/bf01168677openalex-snapshot

Remarks on ideals in join-semilattices

inferred← citeshttps://doi.org/10.1007/bf01191811openalex-snapshot

A characterisation of meet and join respecting pre-orders and congruences on finite lattices

inferred← citeshttps://doi.org/10.1007/bf01278593openalex-snapshot

Amalgamation classes of some distributive varieties

inferred← citeshttps://doi.org/10.1007/bf01303533openalex-snapshot

About generalized ideals in a distributive lattice

inferred← citeshttps://doi.org/10.1007/bf01836429openalex-snapshot

Distributive lattices with an additional unary operation

inferred← citeshttps://doi.org/10.1007/bf01894690openalex-snapshot

Translations and congruences in lattices

inferred← citeshttps://doi.org/10.1007/bf01895728openalex-snapshot

On semi-discrete lattices whose congruence relations form a Boolean algebra

inferred← citeshttps://doi.org/10.1007/bf01897037openalex-snapshot

Boolean functions on distributive lattices

inferred← citeshttps://doi.org/10.1007/bf01902324openalex-snapshot

Strongly planar AC-lattices in which the ideal of the finite elements is standard

inferred← citeshttps://doi.org/10.1007/bf01904837openalex-snapshot

A characterisation of standard ideals

inferred← citeshttps://doi.org/10.1007/bf01951357openalex-snapshot

Algebras with Boolean and Stonean congruence lattices

inferred← citeshttps://doi.org/10.1007/bf02033636openalex-snapshot

On congruence lattices of lattices

inferred← citeshttps://doi.org/10.1007/bf02066675openalex-snapshot

Standard ideals in lattices

inferred← citeshttps://doi.org/10.1007/bf02482892openalex-snapshot

Local regularity for distributivep-algebras and distributive doublep-algebras

inferred← citeshttps://doi.org/10.1007/bf02482900openalex-snapshot

Uniform congruence schemes

inferred← citeshttps://doi.org/10.1007/bf02485255openalex-snapshot

Separating sets in modular lattices with applications to congruence lattices

inferred← citeshttps://doi.org/10.1007/bf02488042openalex-snapshot

Congruence lattices of pseudocomplemented semilattices

inferred← citeshttps://doi.org/10.1007/bf02944983openalex-snapshot

A note on the congruence extension property

inferred← citeshttps://doi.org/10.1007/s00012-014-0285-0openalex-snapshot

A technical lemma for congruences of finite lattices

inferred← citeshttps://doi.org/10.1007/s00012-014-0286-zopenalex-snapshot

A note on congruence lattices of slim semimodular lattices

inferred← citeshttps://doi.org/10.1007/s00012-015-0355-yopenalex-snapshot

Congruences and prime-perspectivities in finite lattices

inferred← citeshttps://doi.org/10.1007/s00012-018-0483-2openalex-snapshot

Congruence structure of planar semimodular lattices: the General Swing Lemma

inferred← citeshttps://doi.org/10.1007/s00012-018-0485-0openalex-snapshot

My collaboration with E. T. Schmidt spanning six decades

inferred← citeshttps://doi.org/10.1007/s40840-022-01344-7openalex-snapshot

Boolean Algebras Derived from a Quotient of a Distributive Lattice

inferred← citeshttps://doi.org/10.1016/b978-0-08-016408-3.50007-3openalex-snapshot

BIBLIOGRAPHY

inferred← citeshttps://doi.org/10.1016/s0012-365x(74)80017-8openalex-snapshot

Rings in boolean algebras

inferred← citeshttps://doi.org/10.1016/s0021-8693(03)00501-5openalex-snapshot

Representing congruence lattices of lattices with partial unary operations as congruence lattices of lattices. I. Interval equivalence

inferred← citeshttps://doi.org/10.1016/s0079-8169(08)61359-8openalex-snapshot

Bibliography

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An application of lattice theory to knowledge representation

inferred← citeshttps://doi.org/10.1016/s1385-7258(58)50078-xopenalex-snapshot

On the generalized boolean algebra generated by a distributive lattice

inferred← citeshttps://doi.org/10.1023/b:cmaj.0000042379.08339.82openalex-snapshot

Lattices with Complemented Tolerance Lattice

inferred← citeshttps://doi.org/10.1090/s0002-9939-1976-0401593-7openalex-snapshot

On a problem of G. Grätzer

inferred← citeshttps://doi.org/10.1142/s1005386712000326openalex-snapshot

S-Lattice Congruences of S-Lattices

inferred← citeshttps://doi.org/10.1145/567752.567778openalex-snapshot

Systematic design of program analysis frameworks

inferred← citeshttps://doi.org/10.1215/ijm/1256055104openalex-snapshot

Normal, simple and neutral congruences on lattices

inferred← citeshttps://doi.org/10.1215/ijm/1256055105openalex-snapshot

Permutable congruences in a lattice

inferred← citeshttps://doi.org/10.1515/ms-2017-0011openalex-snapshot

Characterization of congruence lattices of principal p-algebras

inferred← citeshttps://doi.org/10.2140/pjm.1960.10.787openalex-snapshot

Lattices whose congruences form a boolean algebra

inferred← citeshttps://doi.org/10.2140/pjm.1973.49.59openalex-snapshot

A nonassociative extension of the class of distributive lattices

inferred← citeshttps://doi.org/10.32917/hmj/1206139184openalex-snapshot

A note on normal ideals

inferred← citeshttps://doi.org/10.48550/arxiv.1308.4607openalex-snapshot

A technical lemma for congruences of finite lattices

inferred← citeshttps://doi.org/10.48550/arxiv.1909.03106openalex-snapshot

When a quotient of a distributive lattice is a boolean algebra

inferred← citeshttps://doi.org/10.7151/dmgaa.1223openalex-snapshot

Filters of lattices with respect to a congruence

inferred← citeshttps://doi.org/10.7151/dmgaa.1280openalex-snapshot

Congruences and trajectories in planar semimodular lattices

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