epimorphism meaning in Hindi

Examples

1. A morphism with a right inverse is called a split epimorphism.
2. It follows in particular that every cokernel is an epimorphism.
3. For example, the inclusion is a ring epimorphism, but not a surjection.
4. A morphism that is both a monomorphism and an epimorphism is called a bimorphism.
5. However, the two definitions of " epimorphism " are equivalent for modules.
6. Every localization is a ring epimorphism, which is not, in general, surjective.
7. A strong monomorphism satisfies a certain lifting property with respect to commutative squares involving an epimorphism.
8. There are many right inverses to string projection, and thus it is a split epimorphism.
9. A "'split epimorphism "'is an homomorphism that has a left inverse.
10. Every coequalizer is an epimorphism, a consequence of the uniqueness requirement in the definition of coequalizers.