I am reading Dummit and Foote on Ring Theory.

Problem 4, Section 7.3 RIng Homomorphisms and Quotient Rings states:

"Find all ring homomorphisms from $\displaystyle \mathbb{Z} $ to $\displaystyle \mathbb{Z} / 30 \mathbb{Z} $. In each case describe the kernal and the image."

Can someone please help me with this exercise.

Peter