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单词 Morphism
释义

Morphism

A map between two objects in an abstract Category.

1. A general morphism is called a Homomorphism,

2. A morphism in a Category is a Monomorphism if, for any two morphisms , implies that ,

3. A morphism in a Category is an Epimorphism if, for any two morphisms , implies ,

4. A bijective morphism is called an Isomorphism (if there is an isomorphism between two objects, then we saythey are isomorphic),

5. A surjective morphism from an object to itself is called an Endomorphism, and

6. An Isomorphism between an object and itself is called an Automorphism.

See also Automorphism, Epimorphism, Homeomorphism, Homomorphism, Isomorphism, Monomorphism, Object
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更新时间:2024/11/15 3:24:02