injective

English

An injective mapping

Etymology

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

Pronunciation

• IPA: /ɪnˈdʒɛktɪv/, X-SAMPA: /In"dZEktIv/

• 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

• 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 (cs)
• Greek: αμφιμονότιμη (el) (amfimonótimi)
• Icelandic: eintækur (is) m
• Irish: inteilgeach (ga)

• Polish: różnowartościowa (pl) f
• Spanish: inyectivo (es)
• Swedish: injektiv (sv)