epimorphism sentence in Hindi
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- A morphism with a right inverse is called a split epimorphism.
- It follows in particular that every cokernel is an epimorphism.
- For example, the inclusion is a ring epimorphism, but not a surjection.
- A morphism that is both a monomorphism and an epimorphism is called a bimorphism.
- However, the two definitions of " epimorphism " are equivalent for modules.
- Every localization is a ring epimorphism, which is not, in general, surjective.
- A strong monomorphism satisfies a certain lifting property with respect to commutative squares involving an epimorphism.
- There are many right inverses to string projection, and thus it is a split epimorphism.
- A "'split epimorphism "'is an homomorphism that has a left inverse.
- Every coequalizer is an epimorphism, a consequence of the uniqueness requirement in the definition of coequalizers.
- The converse, namely that every epimorphism be a coequalizer, is not true in all categories.
- He held that from his theory of " epimorphism " evolution is a directed process.
- Any morphism with a right inverse is an epimorphism, but the converse is not true in general.
- In short, the property of being a monomorphism is dual to the property of being an epimorphism.
- In this article, the term " epimorphism " will be used in the sense of category theory given above.
- In many categories it is possible to write every morphism as the composition of an epimorphism followed by a monomorphism.
- This is also an example of a ring homomorphism which is both a monomorphism and an epimorphism, but not an isomorphism.
- A "'regular epimorphism "'is an epimorphism which appears as a coequalizer of some pair of morphisms.
- A "'regular epimorphism "'is an epimorphism which appears as a coequalizer of some pair of morphisms.
- For sets and vector spaces, every epimorphism is a split epimorphism, but this property is wrong for most common algebraic structures.
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