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 Post subject: ideal of a ringPosted: Sun, 4 Mar 2012 15:54:17 UTC
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Joined: Mon, 1 Sep 2008 13:23:38 UTC
Posts: 32
Hello! How can help me with this problem?

Prove that in Z[X] every ideal is finitely generated.
Thank you!

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 Post subject: Re: ideal of a ringPosted: Sun, 4 Mar 2012 15:59:16 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6008
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
ely_en wrote:
Hello! How can help me with this problem?

Prove that in Z[X] every ideal is finitely generated.
Thank you!

Do you know the Hilbert's basis theorem?

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 Post subject: Re: ideal of a ringPosted: Sun, 4 Mar 2012 16:25:03 UTC
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Joined: Mon, 1 Sep 2008 13:23:38 UTC
Posts: 32
no, sorry...

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 Post subject: Re: ideal of a ringPosted: Sun, 4 Mar 2012 18:33:02 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12103
Location: Austin, TX
ely_en wrote:
no, sorry...

The beauty of it is you can look it up! It's really quite easy to read the proof, and if you don't like those sorts of things then you can just read the statement.

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