right inverse

noun

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

Similar
section
Opposite
left inverse
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Meanings

nounright inverse (plural right inverses)

plural right inverses

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

    Synonyms: section

Synonyms & antonyms

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

Similar
section
Opposite
left inverse

Translations

German Rechtsinverses
  • RechtsinversesTranslations
Cite this entry
APA

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

MLA

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

Chicago

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

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