Definition:Zero Morphism in Preadditive Category

Definition

Let $A$ be a preadditive category.

Let $a, b$ be objects of $A$.

The zero morphism $0 : a \to b$ is the identity element of their hom set $\map {\operatorname {Hom} } {a, b}$.

Also see

• Definition:Category with Zero Morphisms
• Definition:Zero Object

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