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Tolerance relation

In universal algebra and lattice theory, a tolerance relation on an algebraic structure is a reflexive symmetric relation that is compatible with all operations of the structure. Thus a tolerance is like a congruence, except that the assumption of transitivity is dropped. On a set, an algebraic structure with empty family of operations, tolerance…

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Tolerance relation

Nodes40
Edges39
Triples39
Avg. degree1.95
Density0.05
Components1

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Tolerance relation

Top relations

related to Further reading · 15
Tolerance relation → Anal, Cybernetics, February, FORMALIZED MATHEMATICS, Gerasin, January, May, No, Relations, Set, Shlyakhov, Sys, Tolerance, Vol, Yakovlev
related to As binary relations · 4
Tolerance relation → Compatibility, Reflexivity, Symmetry, That
related to As covers · 4
Tolerance relation → For, In, Such, To
related to Definitions · 4
Tolerance relation → Cong, Since, The, Tolr
related to Groups · 4
Tolerance relation → Boolean, In, On, Therefore
related to Lattices · 3
Tolerance relation → For, In, Thus
related to Quotient algebras over tolerance relations · 3
Tolerance relation → Let, Suppose, Then
is a · 1
Tolerance relation → congruence relation
related to Sets · 1
Tolerance relation → In

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Important terminology

tolerance displaystyle relation sim relations set algebraic every mathcal structure congruence quotient two lattices lattice variety binary reflexive algebra also

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SubjectPredicateObjectConfidenceSrc
Tolerance relationis acongruence relation0.90text
Tolerance relationrelated to As binary relationsReflexivity0.60section
Tolerance relationrelated to As binary relationsSymmetry0.60section
Tolerance relationrelated to As binary relationsCompatibility0.60section
Tolerance relationrelated to As binary relationsThat0.60section
Tolerance relationrelated to As coversFor0.60section
Tolerance relationrelated to As coversIn0.60section
Tolerance relationrelated to As coversTo0.60section
Tolerance relationrelated to As coversSuch0.60section
Tolerance relationrelated to DefinitionsThe0.60section
Tolerance relationrelated to DefinitionsTolr0.60section
Tolerance relationrelated to DefinitionsSince0.60section

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