injective
/ɪnˈd͡ʒɛktɪv/
injective adjective: 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.
Adjective
injective (not comparable)
- 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
- Loosely, having a certain generalizing property, abstracted from the study of ℚ as a ℤ-module. Formally, such that any short exact sequence of (left) R-modules beginning with M splits, or any of several equivalent statements: See Injective module.
- Loosely, having a property analogous to that which characterizes injective modules (see above). Formally, such that, given a monomorphism f:X→Y in C, for every morphism g:X→Q there exists a morphism h:Y→Q such that h∘f=g; see Injective object.
- Such that the objects (usually modules) involved in the resolution are injective (in the algebraic senses above).
Synonyms of injective
Origin of injective
Borrowed from French injectif.
Words formed from injective
- injective cogenerator
- injective dimension
- injective function
- injective hull
- injectively
- injective map
- injective module
- injectiveness
- injective object
- injective patch
- injective sheaf
- injectivity
- noninjective
- selfinjective
Phrases with injective
Words that rhyme with injective
- projective
- subjective
- effective
- objective
- prospective
- reflective
- collective
- connective
- defective
- directive
- respective
- selective
28 more rhymesFewer rhymes
- detective
- elective
- irrespective
- perfective
- retrospective
- affective
- bijective
- corrective
- erective
- ineffective
- inflective
- intellective
- intersubjective
- protective
- refective
- advective
- convective
- deflective
- ejective
- imperfective
- infective
- inspective
- introspective
- overprotective
- rejective
- surjective
- unreflective
- unselective
Questions about injective
- What does injective mean?
- Injective means 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.
- What part of speech is injective?
- Injective is an adjective.
- How do you pronounce injective?
- Injective is pronounced /ɪnˈd͡ʒɛktɪv/.
Words near injective in the dictionary
Source and license
Adapted from Wiktionary: injective (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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Pronunciation audio from Wikimedia Commons, each file under its own free license: en-us-injective.ogg.
Cite this entry: “injective.” Word.ws, https://word.ws/injective. Based on Wiktionary, CC BY-SA 4.0.