injective

English

An injective mapping

Etymology

This term was introduced by Nicolas Bourbaki in his treatise Éléments de mathématique.

Pronunciation

• IPA^(key): /ɪnˈdʒɛktɪv/

• Audio (US)

  (file)

Adjective

injective (not comparable)

1. (mathematics) Of, relating to, or being an injection: such that each element of the image (or range) is associated with at most one element of the preimage (or domain); inverse-deterministic.

Synonyms

• one-to-one

Derived terms

Derived terms

• injective cogenerator
• injective dimension
• injective function
• injective hull
• injective map

• injective module
• injective object
• injective patch
• injective sheaf

Related terms

• injectively

Translations

inverse-deterministic

• Czech: prostý (cs), injektivní
• Danish: injektiv
• Greek: αμφιμονότιμη (amfimonótimi)
• Icelandic: eintækur m
• Irish: inteilgeach

• Polish: różnowartościowa f
• Portuguese: injetivo
• Russian: инъекти́вный (ru) (inʺjektívnyj)
• Spanish: inyectivo
• Swedish: injektiv (sv)

---

French

Adjective

injective

1. feminine of injectif