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Re: Prime ideals in the ring of continuous functions

Subject: Re: Prime ideals in the ring of continuous functions
From: Jannick Asmus
Date: Sat, 21 Oct 2006 11:42:05 +0200
Newsgroups: sci.math
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,�}
> 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.

J.

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