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	<title>Template:Group-like structures - Revision history</title>
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	<updated>2026-06-14T21:51:59Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Group-like_structures&amp;diff=42418&amp;oldid=prev</id>
		<title>Indicwiki: 1 revision imported from :alpha:Template:Group-like_structures</title>
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		<updated>2022-12-14T04:21:07Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported from &lt;a href=&quot;https://alpha.indicwiki.in/index.php?title=Template:Group-like_structures&quot; class=&quot;extiw&quot; title=&quot;alpha:Template:Group-like structures&quot;&gt;alpha:Template:Group-like_structures&lt;/a&gt;&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 09:51, 14 December 2022&lt;/td&gt;
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		<author><name>Indicwiki</name></author>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Group-like_structures&amp;diff=42417&amp;oldid=prev</id>
		<title>alpha&gt;Sarika: Created page with &quot;{| class=&quot;floatright&quot; style=&quot;font-size:90%&quot; |+ style=&quot;background:#cee0f2; padding:0.2em 0.4em 0.2em; text-align:center; font-size:130%; line-height:1.2em; font-weight: bold&quot; |...&quot;</title>
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		<updated>2022-12-13T10:10:45Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{| class=&amp;quot;floatright&amp;quot; style=&amp;quot;font-size:90%&amp;quot; |+ style=&amp;quot;background:#cee0f2; padding:0.2em 0.4em 0.2em; text-align:center; font-size:130%; line-height:1.2em; font-weight: bold&amp;quot; |...&amp;quot;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 15:40, 13 December 2022&lt;/td&gt;
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&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 52:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;!-- Categories below this line; interwikis at Wikidata --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;&amp;lt;!-- Categories below this line; interwikis at Wikidata --&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Mathematics sidebar templates]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;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;&quot;&gt;&lt;div&gt;[[Category:Mathematics sidebar templates]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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		<author><name>alpha&gt;Sarika</name></author>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Group-like_structures&amp;diff=30353&amp;oldid=prev</id>
		<title>Admin: 1 revision imported</title>
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		<updated>2022-12-04T09:59:28Z</updated>

		<summary type="html">&lt;p&gt;1 revision imported&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 15:29, 4 December 2022&lt;/td&gt;
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		<author><name>Admin</name></author>
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	<entry>
		<id>https://www.vigyanwiki.in/index.php?title=Template:Group-like_structures&amp;diff=30352&amp;oldid=prev</id>
		<title>190.122.186.208 at 15:03, 23 November 2022</title>
		<link rel="alternate" type="text/html" href="https://www.vigyanwiki.in/index.php?title=Template:Group-like_structures&amp;diff=30352&amp;oldid=prev"/>
		<updated>2022-11-23T15:03:29Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{| class=&amp;quot;floatright&amp;quot; style=&amp;quot;font-size:90%&amp;quot;&lt;br /&gt;
|+ style=&amp;quot;background:#cee0f2; padding:0.2em 0.4em 0.2em; text-align:center; font-size:130%; line-height:1.2em; font-weight: bold&amp;quot; | Group-like structures&lt;br /&gt;
|-&lt;br /&gt;
!&lt;br /&gt;
! [[Total function|Totality]]{{ref|Alpha|α}} &lt;br /&gt;
! [[Associativity]] &lt;br /&gt;
! [[Identity element|Identity]] &lt;br /&gt;
! [[Quasigroup|Inverse]] &lt;br /&gt;
! [[Commutativity]]&lt;br /&gt;
|-&lt;br /&gt;
! [[Semigroupoid]] &lt;br /&gt;
| {{no|Unneeded}} || {{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Category (mathematics)|Small category]]&lt;br /&gt;
| {{no|Unneeded}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Groupoid]]&lt;br /&gt;
| {{no|Unneeded}} || {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Magma (algebra)|Magma]]&lt;br /&gt;
| {{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}} || {{no|Unneeded}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Quasigroup]]&lt;br /&gt;
| {{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}} || {{yes|Required}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Unital magma]]&lt;br /&gt;
| {{yes|Required}} || {{no|Unneeded}} ||{{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Semigroup]]&lt;br /&gt;
| {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}}  || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Loop (algebra)|Loop]]&lt;br /&gt;
| {{yes|Required}} || {{no|Unneeded}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
&amp;lt;!--! [[Group (mathematics)|Group]] or [[Empty domain|Empty]]&lt;br /&gt;
| {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}} || {{yes|Required}} || {{no|Unneeded}}--&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
! [[Monoid]]&lt;br /&gt;
| {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Group (mathematics)|Group]]&lt;br /&gt;
| {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Commutative monoid]]&lt;br /&gt;
| {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{no|Unneeded}} || {{yes|Required}}&lt;br /&gt;
|-&lt;br /&gt;
! [[Abelian group]]&lt;br /&gt;
| {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{yes|Required}} || {{yes|Required}}&lt;br /&gt;
|-&lt;br /&gt;
| colspan=&amp;quot;6&amp;quot; | &amp;lt;small&amp;gt;{{note|Alpha|α}}The [[closure (mathematics)|closure]] axiom, used by many sources and defined differently, is equivalent.&amp;lt;/small&amp;gt;&lt;br /&gt;
|}&amp;lt;noinclude&amp;gt;&lt;br /&gt;
&amp;lt;!-- Categories below this line; interwikis at Wikidata --&amp;gt;&lt;br /&gt;
[[Category:Mathematics sidebar templates]]&lt;br /&gt;
&amp;lt;/noinclude&amp;gt;&lt;/div&gt;</summary>
		<author><name>190.122.186.208</name></author>
	</entry>
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