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Jannick Asmus wrote:
> On 21.10.2006 09:33, Sasha P wrote:
>
>> Consider ideal
>> I={f \in C[0,1] : lim_{x \to 0} f(x)/x^n=0, n=0,1,2,â??}
>> Is I prime ideal?
>
> At least I is radical, i.e. if f^n in I for some n>0, then f in I. This
> is one step towards being a prime ideal.
Is it true that f^n in I => f in I?
What if f(x) = x * x^{n/2} ?
--
Timothy Murphy
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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