identity morphism

Fetched 2026-10-26 (cache).

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Noun

1. {{lb|en|category theory}} 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.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.