From: David C. Ullrich <david_ullrich@my-deja.com>
Subject: Re: bezout domain
Date: Fri, 11 Aug 2000 14:59:00 GMT
Newsgroups: sci.math
Summary: [missing]

In article <8n0k1b$vvu8@hkunae.hku.hk>,
  Siu Lok Shun <lssiu@hkusua.hku.hk> wrote:
> I want an example of (non-principal) bezout domain in which every
> finitely generated ideal is principal.

          Well I have no idea what a bezout domain is. An interesting
example of an non-principal integral domain where every finitely
generated ideal is principal would be the holomorphic functions
on a connected open set in the plane. Take the entire functions,
for example: A finitely generated domain is principal (if f_1, ... f_n
are entire functions and the zero set of f is the intersection
of the zero sets of f_1, ... f_n then the ideal generated by
f_1,..f_n is the same as the ideal generated by f), but I is
a non-principal ideal, if I is the set of entire functions f
such that there exists N with f(n) = 0 for all integers n > N.

> Thanks.
>
> --
>

--
Oh, dejanews lets you add a sig - that's useful...


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