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	<id>https://commalg.subwiki.org/w/index.php?action=history&amp;feed=atom&amp;title=Nonnegative_norm</id>
	<title>Nonnegative norm - Revision history</title>
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	<updated>2026-10-25T16:53:56Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://commalg.subwiki.org/w/index.php?title=Nonnegative_norm&amp;diff=1824&amp;oldid=prev</id>
		<title>Vipul: New page: {{curing-norm property}}  ==Definition==  A norm on a commutative unital ring &lt;math&gt;R&lt;/math&gt; (i.e., a function from the nonzero elements of &lt;math&gt;R&lt;/math&gt; to the integers) is termed &#039;&#039;...</title>
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		<updated>2009-01-23T19:40:09Z</updated>

		<summary type="html">&lt;p&gt;New page: {{curing-norm property}}  ==Definition==  A &lt;a href=&quot;/wiki/Norm_on_a_commutative_unital_ring&quot; title=&quot;Norm on a commutative unital ring&quot;&gt;norm on a commutative unital ring&lt;/a&gt; &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; (i.e., a function from the nonzero elements of &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; to the integers) is termed &amp;#039;&amp;#039;...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{curing-norm property}}&lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
&lt;br /&gt;
A [[norm on a commutative unital ring]] &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; (i.e., a function from the nonzero elements of &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; to the integers) is termed &amp;#039;&amp;#039;&amp;#039;nonnegative&amp;#039;&amp;#039;&amp;#039; if it takes nonnegative values on all nonzero elements of the ring.&lt;br /&gt;
&lt;br /&gt;
==Relation with other properties==&lt;br /&gt;
&lt;br /&gt;
===Stronger properties===&lt;br /&gt;
&lt;br /&gt;
* [[Weaker than::Positive norm]]&lt;br /&gt;
* [[Weaker than::Euclidean norm]]&lt;br /&gt;
* [[Weaker than::Dedekind-Hasse norm]]&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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