https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Noetherian_domain
Noetherian domain - Revision history
2026-04-06T07:14:30Z
Revision history for this page on the wiki
MediaWiki 1.41.2
https://commalg.subwiki.org/w/index.php?title=Noetherian_domain&diff=813&oldid=prev
Vipul: 2 revisions
2008-05-12T16:27:43Z
<p>2 revisions</p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:27, 12 May 2008</td>
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Vipul
https://commalg.subwiki.org/w/index.php?title=Noetherian_domain&diff=812&oldid=prev
Vipul at 23:10, 7 January 2008
2008-01-07T23:10:22Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:10, 7 January 2008</td>
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<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Principal ideal domain]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Principal ideal domain]]</div></td></tr>
<tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Dedekind domain]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[Dedekind domain]]</div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">===Weaker properties===</ins></div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Integral domain]]</ins></div></td></tr>
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Vipul
https://commalg.subwiki.org/w/index.php?title=Noetherian_domain&diff=811&oldid=prev
Vipul at 22:45, 16 December 2007
2007-12-16T22:45:15Z
<p></p>
<p><b>New page</b></p><div>{{integral domain property}}<br />
<br />
==Definition==<br />
<br />
===Symbol-free definition===<br />
<br />
An [[integral domain]] is termed a '''Noetherian domain''' if every [[ideal]] in it is [[finitely generated ideal|finitely generated]]. In other words, it is both an integral domain and a [[Noetherian ring]].<br />
<br />
==Relation with other properties==<br />
<br />
===Stronger properties===<br />
<br />
* [[Principal ideal domain]]<br />
* [[Dedekind domain]]</div>
Vipul