monomorphism in a sentence

Examples

1. This is an exact sequence because the image 2 "'Z "'of the monomorphism is the kernel of the epimorphism.
2. In the more general context of category theory, a monomorphism is defined as an homomorphism that is "'left cancelable " '.
3. Unlike in abelian categories, it is not true that every monomorphism in "'Grp "'is the kernel of its cokernel.
4. A study done that was published in 2003 by Elizabeth Capaldi showed that females and males generally display monomorphism, with the exception of the thorax.
5. *A morphism f \ colon A \ to B is a monomorphism if f \ circ g = f \ circ h implies g = h.
6. It is not possible for a finite group to be mapped by inclusion ( i . e . by a monomorphism ) as a proper subgroup of itself.
7. *PM : proof that an equalizer is a monomorphism, id = 7627 new !-- WP guess : proof that an equalizer is a monomorphism-- Status:
8. *PM : proof that an equalizer is a monomorphism, id = 7627 new !-- WP guess : proof that an equalizer is a monomorphism-- Status:
9. Because of this example, in a general category the pullback of a morphism and a monomorphism can be thought of as the " preimage " under of the subobject specified by.
10. An equivalence relation on an object X of a regular category is a monomorphism into X \ times X that satisfies the interpretations of the conditions for reflexivity, symmetry and transitivity.