Re: Dedekind Domain

In article <YTVof.3464$j7.82123@xxxxxxxxxxxxxx>,
Timothy Murphy <tim@xxxxxxxxxxxxxxxxxxxxxx> wrote:
>magidin@xxxxxxxxxxxxxxxxx wrote:
>
>>> >> Let R be a domain with the property that every nonzero ideal
>>> >> is a product of maximal ideals. Show that R is Dedekind.

[.snip.]

>I was just thinking about this result,
>and wondering if it is as difficult as seems to be implied.

I did not mean to imply it is difficult. The proof in Jacobson is
short and straightforward; but since it relies on the notions of
fractional ideals, I thought it best to simply give the reference.

Sorry I can't be more detailed; I'm away from the office, and plan to
leave town later today.

--
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"It's not denial. I'm just very selective about
what I accept as reality."
--- Calvin ("Calvin and Hobbes")
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Arturo Magidin
magidin@xxxxxxxxxxxxxxxxx

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