ring homomorphism in a sentence

Examples

1. However, surjective ring homomorphisms are vastly different from epimorphisms in the category of rings.
2. In fact, it is easy to check that this map is a ring homomorphism.
3. In fact it is a ring homomorphism.
4. Such an algebra comes equipped with a ring homomorphism to " R ".
5. We will also assume that all rings are unital, and all ring homomorphisms are unital.
6. The representation \ tilde { \ rho } is a ring homomorphism, in that one has
7. Ideals are important because they appear as kernels of ring homomorphisms and allow one to define factor rings.
8. It is possible to have a rng homomorphism between ( unital ) rings that is not a ring homomorphism.
9. A ring homomorphism between the same ring is called an endomorphism and an isomorphism between the same ring an automorphism.
10. To see this, just choose a ring homomorphism between the underlying rings that does not change the ring action.