injective
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injective
- /ɪnˈd͡ʒɛktɪv/
Rhymes with -ɛktɪv
Where it comes from
Borrowed from French injectif.
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
Similar: 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).
Translations
Talk about this word "injective." Wiktionary, via Micwyn, micwyn.com/word/injective. Accessed 6 Nov. 2026. injective. (n.d.). In Wiktionary, via Micwyn. Retrieved November 6, 2026, from https://micwyn.com/word/injective "injective." Wiktionary, via Micwyn. Accessed November 6, 2026. https://micwyn.com/word/injective.Cite this
@misc{injective_2026,
title = {injective},
howpublished = {Wiktionary, via Micwyn},
year = {2026},
url = {https://micwyn.com/word/injective},
urldate = {2026-11-06}
}
