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Graded Nakayama's lemma - Revision history
2026-05-04T04:40:52Z
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Vipul: 2 revisions
2008-05-12T16:22:47Z
<p>2 revisions</p>
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<td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 16:22, 12 May 2008</td>
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Vipul
https://commalg.subwiki.org/w/index.php?title=Graded_Nakayama%27s_lemma&diff=408&oldid=prev
Vipul at 21:27, 8 February 2008
2008-02-08T21:27:34Z
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:27, 8 February 2008</td>
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<tr><td class="diff-marker"></td><td style="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;"><div>Suppose <math>A</math> is a [[graded ring]]. Let <math>A^+</math> denote the ideal of all positively graded elements. Then, if <math>M</math> is an <math>A</math>-[[graded module]], <math>A^+M = M \implies M = 0</math>.</div></td><td class="diff-marker"></td><td style="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;"><div>Suppose <math>A</math> is a [[graded ring]]. Let <math>A^+</math> denote the ideal of all positively graded elements. Then, if <math>M</math> is an <math>A</math>-[[graded module]], <math>A^+M = M \implies M = 0</math>.</div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">==Related results==</ins></div></td></tr>
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<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[Nakayama's lemma]]</ins></div></td></tr>
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Vipul
https://commalg.subwiki.org/w/index.php?title=Graded_Nakayama%27s_lemma&diff=407&oldid=prev
Vipul: New page: {{indispensable lemma}} ==Statement== Suppose <math>A</math> is a graded ring. Let <math>A^+</math> denote the ideal of all positively graded elements. Then, if <math>M</math> is an ...
2008-02-08T21:19:58Z
<p>New page: {{indispensable lemma}} ==Statement== Suppose <math>A</math> is a <a href="/wiki/Graded_ring" title="Graded ring">graded ring</a>. Let <math>A^+</math> denote the ideal of all positively graded elements. Then, if <math>M</math> is an ...</p>
<p><b>New page</b></p><div>{{indispensable lemma}}<br />
<br />
==Statement==<br />
<br />
Suppose <math>A</math> is a [[graded ring]]. Let <math>A^+</math> denote the ideal of all positively graded elements. Then, if <math>M</math> is an <math>A</math>-[[graded module]], <math>A^+M = M \implies M = 0</math>.</div>
Vipul