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	<title>Complete local ring - Revision history</title>
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	<updated>2026-04-05T13:18:53Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://commalg.subwiki.org/w/index.php?title=Complete_local_ring&amp;diff=174&amp;oldid=prev</id>
		<title>Vipul: 1 revision</title>
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		<updated>2008-05-12T16:19:28Z</updated>

		<summary type="html">&lt;p&gt;1 revision&lt;/p&gt;
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				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:19, 12 May 2008&lt;/td&gt;
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		<author><name>Vipul</name></author>
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		<id>https://commalg.subwiki.org/w/index.php?title=Complete_local_ring&amp;diff=173&amp;oldid=prev</id>
		<title>Vipul at 12:08, 7 August 2007</title>
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		<updated>2007-08-07T12:08:37Z</updated>

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&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{local ring property}}&lt;br /&gt;
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==Definition==&lt;br /&gt;
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A &amp;#039;&amp;#039;&amp;#039;complete local ring&amp;#039;&amp;#039;&amp;#039; is a [[local ring]] that is complete with respect to its unique [[maximal ideal]]. More explicitly, the natural embedding into its [[completion]] with respect to its unique maximal ideal is an isomorphism.&lt;br /&gt;
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==Relation with other properties==&lt;br /&gt;
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===Weaker properties===&lt;br /&gt;
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* [[Henselian local ring]]&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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