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cliomseerg@kriocoucke.mai science forum Guru Wannabe
Joined: 25 Oct 2005
Posts: 128

Posted: Fri Jul 21, 2006 10:08 am Post subject:
Sum of radical ideals



Dear NG,
Is there an integral domain by which the sum of two radical ideal is
not a radical ideal?
Sincerely,
Jose Capco 

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cliomseerg@kriocoucke.mai science forum Guru Wannabe
Joined: 25 Oct 2005
Posts: 128

Posted: Fri Jul 21, 2006 10:18 am Post subject:
Re: Sum of radical ideals



Jose Capco wrote:
Quote:  Dear NG,
Is there an integral domain by which the sum of two radical ideal is
not a radical ideal?
Sincerely,
Jose Capco

Ok... I think I have the answer. Sorry, was a silly question..
Take the integral domain Z (the whole numbers) .. then 2Z is radical
and 2Z+2Z isnt.
Sincerely,
Jose Capco 

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David C. Ullrich science forum Guru
Joined: 28 Apr 2005
Posts: 2250

Posted: Fri Jul 21, 2006 10:54 am Post subject:
Re: Sum of radical ideals



On 21 Jul 2006 03:18:25 0700, "Jose Capco"
<cliomseerg@kriocoucke.mailexpire.com> wrote:
Quote: 
Jose Capco wrote:
Dear NG,
Is there an integral domain by which the sum of two radical ideal is
not a radical ideal?
Sincerely,
Jose Capco
Ok... I think I have the answer. Sorry, was a silly question..
Take the integral domain Z (the whole numbers) .. then 2Z is radical
and 2Z+2Z isnt.

??? Even though I have no idea what a radical ideal is it's
clear to me that this is false.
Quote:  Sincerely,
Jose Capco

************************
David C. Ullrich 

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yuriart10 science forum beginner
Joined: 04 Nov 2010
Posts: 1
Location: USA

Posted: Fri Nov 05, 2010 1:49 am Post subject:
Re: Sum of radical ideals



Jose Capco wrote:  Jose Capco wrote:
Quote:  Dear NG,
Is there an integral domain by which the sum of two radical ideal is
not a radical ideal?
Sincerely,
Jose Capco

Ok... I think I have the answer. Sorry, was a silly question..
Take the integral domain Z (the whole numbers) .. then 2Z is radical
and 2Z+2Z isnt.
Sincerely,
Jose Capco 
Thanks you for the post 

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