First Isomorphism Theorem

Context
This theorem applies for Groups, Rings, Modules, Algebras, and any other algebraic structure where you see the word homomorphism.

It is a categorical result; that is, it is independent of the structure used.

Also known as
There is no standard numbering for the Isomorphism Theorems. Different authors use different labellings.

This particular result, for example, is also known as the Homomorphism Theorem.

Also see

 * Isomorphism Theorems