an abstract algebra problem

Forum for the GRE subject test in mathematics.
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Joined: Sat Apr 20, 2013 1:19 am

an abstract algebra problem

Post by patrickchensh » Sat Apr 20, 2013 1:36 am

R is a Ring.A is its ideal,which satisfies that for each r,there exist n,such that r^n belongs to A.which of the following may be possible pairs of (R,A)?(Z,2Z),(Z[X],<X^2+1>)

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Joined: Sat Mar 17, 2012 9:58 am

Re: an abstract algebra problem

Post by vonLipwig » Sat Apr 20, 2013 3:58 am

This question doesn't make sense. As you've written it, A must be equal to R. (Try the condition with r = 1).

You'll get more useful help if you also say what you're tried, rather than just writing down a question and nothing else.

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