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  3. prove the following: (a) let a be a ring and b be

Prove the following: (a) Let A be a ring and B be a field. Let f...

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Advance Math

Prove the following:

(a) Let A be a ring and B be a field. Let f : A ? B be asurjective homomorphism from A to B. Then ker(f) is a maximalideal.

(b) If A/J is a field, then J is a maximal ideal.

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