Last Updated
：2025/11/30
identity morphism
（ plural ）
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(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.
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identity morphism
In any category, the identity morphism on an object acts as a neutral element for composition, leaving every composable morphism unchanged.
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In any category, the identity morphism on an object acts as a neutral element for composition, leaving every composable morphism unchanged.
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