Last Updated :2025/11/21

morphism

Noun
Japanese Meaning
カテゴリー論における対象間の「射」。すなわち、数学的対象の間の写像を一般化した概念であり、構造を保存することが求められる。
What is this buttons?

集合の圏では、任意の単射の射は集合間の1対1の写像として考えられます。

plural

Quizzes for review

(mathematics, category theory) (formally) An arrow in a category; (less formally) an abstraction that generalises a map from one mathematical object to another and is structure-preserving in a way that depends on the branch of mathematics from which it arises.

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morphism

In the category of sets, every injective morphism can be identified with a one-to-one function between sets.

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In the category of sets, every injective morphism can be identified with a one-to-one function between sets.

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