My problem is to show that if P is a prime ideal of D, then Dp = {a/b ∈ Q(D) | b ∉ P} is an integral domain with D ⊆ Dp ⊆ Q(D).
I am not sure how to solve this. Any help would be greatly appricated.
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My problem is to show that if P is a prime ideal of D, then Dp = {a/b ∈ Q(D) | b ∉ P} is an integral domain with D ⊆ Dp ⊆ Q(D).
I am not sure how to solve this. Any help would be greatly appricated.