injective
/ɪnˈd͡ʒɛktɪv/
"injective" is a 9-letter English headword indexed on PlainSpell.
The verdict
“injective” is uncommon English (outside the top frequency list), classed as an adjective. The kind of spelling people second-guess.
- Unranked
- below top-frequency English
- 9
- letters
According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - 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
Corpus desk
Index EN-injective · injective · English
injective · unranked · 0 variants · 0 confusables
- FREQ-UNRANKED Unranked
- LEN-LONG 9 letters
- VOW-4 4 vowels
- CONFUS-0 No pairs
- VAR-0 0 variants
- BOOK-THIN "I" thin
- PHOTO-UNK Peer pending
Read with this headword: Spelling guide for this pattern
Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.
| Property | Value |
|---|---|
| Headword | injective |
| Language | English |
| Part of speech | Adjective |
| IPA | /ɪnˈd͡ʒɛktɪv/ |
| Letters | 9 |
| Misspellings tracked | 0 |
| Confusable pairs | 0 |
| Source | Wiktionary (kaikki.org) |
Long-tail rank of “injective” in English
Rare enough to double-check
injective is uncommon English outside the top frequency list, classed as anadjective, transcribed /ɪnˈd͡ʒɛktɪv/. Rarity is why readers land here mid-draft. 4 senses are on record.
injective has no tracked misspelling variants, since its letter sequence doesn't invite the usual edit-distance slips. No close-neighbour confusable shows up for this headword in our dataset, since no other headword is close enough in sound or shape to pair with it.
Etymologically, the entry records: This term was introduced by Nicolas Bourbaki in his treatise Éléments de mathématique. The correct English form is injective, spelled I-N-J-E-C-T-I-V-E.
Definition
- 1Of, 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
- 2Loosely, 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.
- 3Loosely, 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.
- 4Such that the objects (usually modules) involved in the resolution are injective (in the algebraic senses above).
Etymology
This term was introduced by Nicolas Bourbaki in his treatise Éléments de mathématique.
This word in other languages
Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA). See the methodology for how each field is sourced and updated.