Last Updated :2025/12/05

split monomorphism

Noun
Japanese Meaning
圏論において、ある射が左側の逆射(左逆元)を持つ場合、その射を指す。すなわち、射 f に対して、ある射 g が存在し、g ∘ f が恒等射となるような場合を意味する。
What is this buttons?

この圏では包含写像 i: A → B は左逆を持つ単射であり、したがって r ∘ i = id_A を満たす射 r: B → A が存在します。

plural

Quizzes for review

(category theory) A morphism which has a left inverse.

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split monomorphism

In the category, the inclusion map i: A → B is a split monomorphism, so there exists a morphism r: B → A with r ∘ i = id_A.

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In the category, the inclusion map i: A → B is a split monomorphism, so there exists a morphism r: B → A with r ∘ i = id_A.

音声機能が動作しない場合はこちらをご確認ください

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