equivalence relation

English

Noun

equivalence relation (plural equivalence relations)

1. (set theory) A binary relation that is reflexive, symmetric and transitive.

Hypernyms

• preorder

Hyponyms

• bijection
• congruence
• congruence relation
• equality
• homeomorphism
• homotopy
• isometry
• isomorphism
• similarity

Related terms

• equivalence class
• setoid
• ≡
• ~

Translations

binary relation

• Czech: relace ekvivalence f
• Finnish: ekvivalenssirelaatio
• French: relation d’équivalence (fr) f
• German: Äquivalenzrelation (de) f
• Hungarian: ekvivalenciareláció (hu)
• Icelandic: jafngildisvensl n pl
• Italian: relazione di equivalenza f
• Japanese: 同値関係 (ja) (dōchi-kankei)
• (deprecated template usage) {{trans-mid}}
• Polish: relacja równoważności f
• Portuguese: relação de equivalência f
• Romanian: relație de echivalență f
• Russian: отноше́ние эквивале́нтности n (otnošénije ekvivaléntnosti)
• Serbo-Croatian: relacija ekvivalencije f
• Spanish: relación de equivalencia f
• Swedish: ekvivalensrelation (sv) c