left inverse

noun

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

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

Opposite
right inverse
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Meanings

nounleft inverse (plural left inverses)

plural left inverses

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

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

  2. category theoryFor 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.

Synonyms & antonyms

Opposite
right inverse
Broader
inverse

Translations

German Linksinverses
  • LinksinversesTranslations
Cite this entry
APA

left inverse. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/left%20inverse

MLA

“left inverse.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/left%20inverse. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “left inverse,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/left%20inverse.

Source: left inverse on Wiktionary, CC BY-SA 4.0.