Phrase guide

left inverse

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A related function that, given the output of the original function, returns the input that produced that output.

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, sciences

Examples

  • In order for a function to have a left inverse it must be injective.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

For a given morphism f : X → Y, its right inverse (if it has one) is a morphism s : Y → X such that s∘f= mbox id_X.

Definition source: English Wiktionary via Wiktextract

Topics: category-theory, computing, engineering, mathematics, natural-sciences, physical-sciences, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

1 source translations are retained for this English entry.

  • German: Linksinverses — Translations