Re: Question about the homework
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William Stein
Nov 15, 2012, 3:27:03 PM11/15/12
to Reid Dale, 581...@googlegroups.com
On Thu, Nov 15, 2012 at 11:44 AM, Reid Dale <reidr...@gmail.com> wrote:
> Hi Professor,
>
> For problem 1, can we suppose that the fraction field of our Dedekind domain
> K is a number field?
Yes. I meant to write "O_K be the ring of integers of a number field"
not "...of a Dedekind domain", which makes no sense!
> If not, our proof from class that O_K is noetherian
> fails, and in characteristic p we wouldn't be able to localize O_K along the
> multiplicative system {p,p^2, ...}, which is bad.
>
> -Reid
--
William Stein
Professor of Mathematics
University of Washington
http://wstein.org
> Hi Professor,
>
> For problem 1, can we suppose that the fraction field of our Dedekind domain
> K is a number field?
Yes. I meant to write "O_K be the ring of integers of a number field"
not "...of a Dedekind domain", which makes no sense!
> If not, our proof from class that O_K is noetherian
> fails, and in characteristic p we wouldn't be able to localize O_K along the
> multiplicative system {p,p^2, ...}, which is bad.
>
> -Reid
--
William Stein
Professor of Mathematics
University of Washington
http://wstein.org
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