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)

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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)

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French

Adjective

injective

1. feminine of injectif