https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Stably_free_module 2026-04-16T04:07:41Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Stably_free_module&diff=1263&oldid=prev 2008-05-12T16:34:55Z

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Vipul https://commalg.subwiki.org/w/index.php?title=Stably_free_module&diff=1262&oldid=prev 2007-08-21T03:26:19Z

<p></p> <p><b>New page</b></p><div>{{curing-module property}}<br /> <br /> ==Definition==<br /> <br /> ===Symbol-free definition===<br /> <br /> A [[module]] over a [[commutative unital ring]] is said to be &#039;&#039;&#039;stably free&#039;&#039;&#039; if there exists a [[free module]] with which its [[direct sum of modules|direct sum]] is again a [[free module]].<br /> <br /> ===Definition with symbols===<br /> <br /> A [[module]] &lt;math&gt;M&lt;/math&gt; over a [[commutative unital ring]] &lt;math&gt;R&lt;/math&gt; is said to be &#039;&#039;&#039;stably free&#039;&#039;&#039; if there exists a free &lt;math&gt;R&lt;/math&gt;-module &lt;math&gt;F&lt;/math&gt; such that &lt;math&gt;M \oplus F&lt;/math&gt; is again free.<br /> <br /> ==Relation with other properties==<br /> <br /> ===Stronger properties===<br /> <br /> * [[Free module]]<br /> <br /> ===Weaker properties===<br /> <br /> * [[Projective module]]<br /> * [[Flat module]]</div>

Vipul