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	<title>Multiplicative Dedekind-Hasse norm - Revision history</title>
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	<updated>2026-10-16T15:04:28Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://commalg.subwiki.org/w/index.php?title=Multiplicative_Dedekind-Hasse_norm&amp;diff=1833&amp;oldid=prev</id>
		<title>Vipul: New page: {{curing-norm property conjunction|multiplicative norm|Dedekind-Hasse norm}}  ==Definition==  A &#039;&#039;&#039;multiplicative Dedekind-Hasse norm&#039;&#039;&#039; on a commutative unital ring is a function from...</title>
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		<updated>2009-01-23T20:58:19Z</updated>

		<summary type="html">&lt;p&gt;New page: {{curing-norm property conjunction|multiplicative norm|Dedekind-Hasse norm}}  ==Definition==  A &amp;#039;&amp;#039;&amp;#039;multiplicative Dedekind-Hasse norm&amp;#039;&amp;#039;&amp;#039; on a &lt;a href=&quot;/wiki/Commutative_unital_ring&quot; title=&quot;Commutative unital ring&quot;&gt;commutative unital ring&lt;/a&gt; is a function from...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{curing-norm property conjunction|multiplicative norm|Dedekind-Hasse norm}}&lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
&lt;br /&gt;
A &amp;#039;&amp;#039;&amp;#039;multiplicative Dedekind-Hasse norm&amp;#039;&amp;#039;&amp;#039; on a [[commutative unital ring]] is a function from the set of nonzero elements of the ring to the nonnegative integers satisfying the following two conditions:&lt;br /&gt;
&lt;br /&gt;
* It is a [[multiplicative norm]]: The norm of a nonzero product equals the product of the norms.&lt;br /&gt;
* It is a [[Dedekind-Hasse norm]].&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::Multiplicative Euclidean norm]]&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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