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	<title>Quasi-Frobenius ring - Revision history</title>
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	<updated>2026-05-17T04:06:19Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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		<id>https://commalg.subwiki.org/w/index.php?title=Quasi-Frobenius_ring&amp;diff=1065&amp;oldid=prev</id>
		<title>Vipul: 1 revision</title>
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		<updated>2008-05-12T16:33:48Z</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;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:33, 12 May 2008&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
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		<author><name>Vipul</name></author>
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	<entry>
		<id>https://commalg.subwiki.org/w/index.php?title=Quasi-Frobenius_ring&amp;diff=1064&amp;oldid=prev</id>
		<title>Vipul: New page: {{curing property}}  ==Definition==  A commutative unital ring is termed &#039;&#039;&#039;quasi-Frobenius&#039;&#039;&#039; if it satisfies the following equivalent properties:  * It is [[injective module|injectiv...</title>
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		<updated>2008-05-06T14:35:08Z</updated>

		<summary type="html">&lt;p&gt;New page: {{curing property}}  ==Definition==  A &lt;a href=&quot;/wiki/Commutative_unital_ring&quot; title=&quot;Commutative unital ring&quot;&gt;commutative unital ring&lt;/a&gt; is termed &amp;#039;&amp;#039;&amp;#039;quasi-Frobenius&amp;#039;&amp;#039;&amp;#039; if it satisfies the following equivalent properties:  * It is [[injective module|injectiv...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{curing property}}&lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
&lt;br /&gt;
A [[commutative unital ring]] is termed &amp;#039;&amp;#039;&amp;#039;quasi-Frobenius&amp;#039;&amp;#039;&amp;#039; if it satisfies the following equivalent properties:&lt;br /&gt;
&lt;br /&gt;
* It is [[injective module|injective]] as a module over itself&lt;br /&gt;
* Every [[projective module]] over it is injective&lt;br /&gt;
* Every injective module over it is projective&lt;br /&gt;
&lt;br /&gt;
==Relation with other properties==&lt;br /&gt;
&lt;br /&gt;
===Stronger properties===&lt;br /&gt;
&lt;br /&gt;
* [[Field]]&lt;br /&gt;
* [[Semisimple Artinian ring]]&lt;/div&gt;</summary>
		<author><name>Vipul</name></author>
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