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Einsprachige Beispiele (nicht von der PONS Redaktion geprüft)
Englisch
- Every section is a monomorphism, and every retraction is an epimorphism.en.wikipedia.org
- A category is called "normal" if every monomorphism is normal.en.wikipedia.org
- It can be proved that any equaliser in any category is a monomorphism.en.wikipedia.org
- In an abelian category, every morphism "f" can be written as the composition of an epimorphism followed by a monomorphism.en.wikipedia.org
- In short, the property of being a monomorphism is dual to the property of being an epimorphism.en.wikipedia.org
- In any case, one can show that "k" is always a monomorphism (in the categorical sense of the word).en.wikipedia.org
- Other typical requirements are: any extremal monomorphism is an embedding and embeddings are stable under pullbacks.en.wikipedia.org
- A map of simplicial sets is defined to be a cofibration if it is a monomorphism of simplicial sets.en.wikipedia.org
- More generally, a regular monomorphism in any category is any morphism "m" that is an equaliser of some set of morphisms.en.wikipedia.org
- A regular monomorphism equalizes some parallel pair of morphisms.en.wikipedia.org
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Englisch