https://groupprops.subwiki.org/w/index.php?action=history&feed=atom&title=Subloop 2026-07-26T23:06:30Z Revision history for this page on the wiki MediaWiki 1.41.2 https://groupprops.subwiki.org/w/index.php?title=Subloop&diff=19077&oldid=prev 2009-06-27T20:31:37Z

<p>Created page with &#039;==Definition== A subset of an <a href="/wiki/Algebra_loop" class="mw-redirect" title="Algebra loop">algebra loop</a> is termed a &#039;&#039;&#039;subloop&#039;&#039;&#039; if it satisfies the following equivalent conditions: # It is closed under the multiplication of the alg...&#039;</p> <p><b>New page</b></p><div>==Definition==<br /> <br /> A subset of an [[algebra loop]] is termed a &#039;&#039;&#039;subloop&#039;&#039;&#039; if it satisfies the following equivalent conditions:<br /> <br /> # It is closed under the multiplication of the algebra loop and forms an algebra loop under the induced multiplication.<br /> # It is closed under the multiplication of the algebra loop, has the same identity element, and forms an algebra loop under the induced multiplication.<br /> <br /> ==Relation with other properties==<br /> <br /> ===Stronger properties===<br /> <br /> * [[Weaker than::Normal subloop]]<br /> * [[Weaker than::Subloop whose left cosets are pairwise disjoint]]</div>

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