Last Updated:2025/11/29
Sentence

任意の双射的射(同時にモノ射=単射かつエピ射=全射である射)が同型射となる圏では、射が同型射であることを示すには、それがモノ射かつエピ射であることを確認するだけで済むことが多いです。

Quizzes for review

In a balanced category, proving that a map is an isomorphism often reduces to checking that it is both a monomorphism and an epimorphism.

See correct answer

In a balanced category, proving that a map is an isomorphism often reduces to checking that it is both a monomorphism and an epimorphism.

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Related words

balanced category

Noun
Japanese Meaning
すべてのバイモルフィズム(単射かつ全射である射)が同型射である圏、すなわち、各々のバイモルフィズムが互いに逆射を持つ圏
What is this buttons?

任意の双射的射(同時にモノ射=単射かつエピ射=全射である射)が同型射となる圏では、射が同型射であることを示すには、それがモノ射かつエピ射であることを確認するだけで済むことが多いです。

Related Words

plural

English - English

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