monomorphism sentence in Hindi

Examples

1. A strong monomorphism satisfies a certain lifting property with respect to commutative squares involving an epimorphism.
2. Eventually the monomorphism concept of Louis Pasteur was accepted by the scientific community in the 1950s.
3. A "'split monomorphism "'is an homomorphism that has a right inverse.
4. In short, the property of being a monomorphism is dual to the property of being an epimorphism.
5. In many categories it is possible to write every morphism as the composition of an epimorphism followed by a monomorphism.
6. This is also an example of a ring homomorphism which is both a monomorphism and an epimorphism, but not an isomorphism.
7. In the context of abstract algebra or universal algebra, a "'monomorphism "'is an injective homomorphism.
8. For sets and vector spaces, every monomorphism is a split homomorphism, but this property is wrong for most common algebraic structures.
9. For example, whether or not a morphism of sheaves is a monomorphism, epimorphism, or isomorphism can be tested on the stalks.
10. :Wouldn't an " isomorphism into " a group just be a monomorphism ( i . e . an injective homomorphism )?