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    How to Find and Prove All Distinct Ideals of a Ring?

    How do you find all the distint ideals of any ring? I am able to find may ideals but how do you prove that there are no more ideals. Eg Let R = Z[1/n] = {x/n^i | x \in Z, n is a natural number} I can see that x/n is an ideal for every x \in Z. Is that right?
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