identity morphism

noun

A unique morphism corresponding to each object of a category, which has its domain equal to its codomain, and which composed with any morphism (with which it is composable) gives that same morphism.

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Meanings

nounidentity morphism (plural identity morphisms)

plural identity morphisms

  1. category theoryA unique morphism corresponding to each object of a category, which has its domain equal to its codomain, and which composed with any morphism (with which it is composable) gives that same morphism.
Cite this entry
APA

identity morphism. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/identity%20morphism

MLA

“identity morphism.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/identity%20morphism. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “identity morphism,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/identity%20morphism.

Source: identity morphism on Wiktionary, CC BY-SA 4.0.