ring homomorphism meaning in Hindi

Examples

1. Every ideal is the kernel of a ring homomorphism and vice versa.
2. We therefore have short exact sequences split by a ring homomorphism
3. Let \ phi : R \ to S be a ring homomorphism.
4. The mapping is a ring homomorphism from the ring of limited hyperreals to.
5. Then one checks that these two functions are in fact both ring homomorphisms.
6. This can sometimes be used to exclude the possibility of certain ring homomorphisms.
7. The ring homomorphism ? appearing in the above is often called a structure map.
8. Any bijective ring homomorphism is a ring isomorphism.
9. So,, and are commutative rings with identity and and are ring homomorphisms.
10. This is a consequence of the fact that ring homomorphisms must preserve the identity.