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In category theory, an epimorphism is a morphism f : X → Y that is right-cancellative in the sense that, for all objects Z and all morphisms g1, g2: Y → Z, g 1 ∘ f = g 2 ∘ f ⟹ g 1 = g 2 . {\displaystyle g_{1}\circ f=g_{2}\circ f\implies g_{1}=g_{2}.}
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category morphism surjective monomorphism epimorphisms every displaystyle categories isomorphism morphisms also rings map g1 example homomorphism g2 functions function theory
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Epimorphism | is a | morphism f | 0.90 | text |
| Epimorphism | is a | monomorphism | 0.90 | text |
| Epimorphism | is a | isomorphism | 0.90 | text |
| Epimorphism | is a | better concept than surjectivity | 0.90 | text |
| Epimorphism | is a | unruly concept | 0.90 | text |
| Epimorphism | related to Examples | In | 0.60 | section |
| Epimorphism | related to Examples | For | 0.60 | section |
| Epimorphism | related to Examples | Set | 0.60 | section |
| Epimorphism | related to Examples | To | 0.60 | section |
| Epimorphism | related to Examples | Rel | 0.60 | section |
| Epimorphism | related to Examples | Here | 0.60 | section |
| Epimorphism | related to Examples | Pos | 0.60 | section |
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