https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Graded_Abelian_group 2026-08-30T15:00:36Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Graded_Abelian_group&diff=406&oldid=prev 2008-05-12T16:22:45Z

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Vipul https://commalg.subwiki.org/w/index.php?title=Graded_Abelian_group&diff=405&oldid=prev 2008-02-08T21:26:55Z

<p>New page: ==Definition== A &#039;&#039;&#039;graded Abelian group&#039;&#039;&#039; is an <a href="/wiki/Abelian_group" class="mw-redirect" title="Abelian group">Abelian group</a> &lt;math&gt;A&lt;/math&gt; with a decomposition as a direct sum of subgroups &lt;math&gt;A_i&lt;/math&gt; where &lt;math&gt;i&lt;/math&gt; ranges over the ...</p> <p><b>New page</b></p><div>==Definition==<br /> <br /> A &#039;&#039;&#039;graded Abelian group&#039;&#039;&#039; is an [[Abelian group]] &lt;math&gt;A&lt;/math&gt; with a decomposition as a direct sum of subgroups &lt;math&gt;A_i&lt;/math&gt; where &lt;math&gt;i&lt;/math&gt; ranges over the nonnegative integers. In symbols:<br /> <br /> &lt;math&gt;A = \bigoplus_{i=0}^\infty A_i&lt;/math&gt;<br /> <br /> Such an additional structure on an Abelian group is termed a &#039;&#039;&#039;gradation&#039;&#039;&#039;.</div>

Vipul