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#### fredpeterson57

##### New member

- Oct 15, 2019

- 1

I'm particularly lost as to how to prove the following propositions:

(a) Every unital ring of characteristic zero is infinite (I'm thinking of using a proof by contradiction for this, but I have no idea how)

(b) The characteristic of an integral domain is either 0 or prime (if I somehow manage to show that if the characteristic of an integral domain is composite or 1, then it is not an integral domain, then I think I will be able to prove this).