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Uzawa iteration - Revision history
2026-04-27T18:13:34Z
Revision history for this page on the wiki
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en>Bender235: some copy-editing
2015-01-02T19:13:37Z
<p>some <a href="/index.php?title=WP:COPYEDIT&action=edit&redlink=1" class="new" title="WP:COPYEDIT (page does not exist)">copy-editing</a></p>
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<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 21:13, 2 January 2015</td>
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<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">In algebra</del>, <del style="font-weight: bold; text-decoration: none;">more specifically in [[algebraic K-theory]], the '''suspension <math>\Sigma R</del><<del style="font-weight: bold; text-decoration: none;">/math</del>> <del style="font-weight: bold; text-decoration: none;">of a ring </del>'<del style="font-weight: bold; text-decoration: none;">'R''''' is given by<ref>Weibel, III, Ex. 1</del>.<del style="font-weight: bold; text-decoration: none;">15</del><<del style="font-weight: bold; text-decoration: none;">/ref</del>> <<del style="font-weight: bold; text-decoration: none;">math</del>><del style="font-weight: bold; text-decoration: none;">\Sigma(R) = C(R)/M(R)</del><<del style="font-weight: bold; text-decoration: none;">/math</del>> <del style="font-weight: bold; text-decoration: none;">where <math>C(R)</math> is the ring of all infinite matrices with coefficients in ''R'' having only finitely many nonzero elements in each row or column and <math>M(R)</math> is its ideal of matrices having only finitely many nonzero elements. It is an analog of [[suspension (topology)|suspension]] in topology.</del></div></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;">Hi</ins>, <ins style="font-weight: bold; text-decoration: none;">everybody! </ins><<ins style="font-weight: bold; text-decoration: none;">br</ins>><ins style="font-weight: bold; text-decoration: none;">I</ins>'<ins style="font-weight: bold; text-decoration: none;">m Swedish female :)</ins>. <<ins style="font-weight: bold; text-decoration: none;">br</ins>><ins style="font-weight: bold; text-decoration: none;">I really like The Big Bang Theory!</ins><<ins style="font-weight: bold; text-decoration: none;">br</ins>><<ins style="font-weight: bold; text-decoration: none;">br</ins>><ins style="font-weight: bold; text-decoration: none;">my blog post - </ins>[http://<ins style="font-weight: bold; text-decoration: none;">support</ins>.<ins style="font-weight: bold; text-decoration: none;">groupsite</ins>.<ins style="font-weight: bold; text-decoration: none;">com</ins>/<ins style="font-weight: bold; text-decoration: none;">entries</ins>/<ins style="font-weight: bold; text-decoration: none;">33588100-Hostgator</ins>-<ins style="font-weight: bold; text-decoration: none;">Sales</ins>-<ins style="font-weight: bold; text-decoration: none;">Tax Hostgator Discount Voucher</ins>]</div></td></tr>
<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">One then has: <math>K_i(R) \simeq K_{i+1}(\Sigma R)</math>.</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">== References ==</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">{{reflist}}</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">* C. Weibel "</del>[http://<del style="font-weight: bold; text-decoration: none;">www</del>.<del style="font-weight: bold; text-decoration: none;">math</del>.<del style="font-weight: bold; text-decoration: none;">rutgers.edu</del>/<del style="font-weight: bold; text-decoration: none;">~weibel</del>/<del style="font-weight: bold; text-decoration: none;">Kbook.html The K</del>-<del style="font-weight: bold; text-decoration: none;">book: An introduction to algebraic K</del>-<del style="font-weight: bold; text-decoration: none;">theory</del>]<del style="font-weight: bold; text-decoration: none;">"</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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<tr><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: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;">[[Category:Algebra]]</del></div></td><td colspan="2" class="diff-side-added"></td></tr>
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en>Bender235
https://en.formulasearchengine.com/index.php?title=Uzawa_iteration&diff=30254&oldid=prev
en>Michael Hardy: punctuation corrections required by WP:MOS
2014-01-08T00:04:30Z
<p>punctuation corrections required by <a href="/index.php?title=WP:MOS&action=edit&redlink=1" class="new" title="WP:MOS (page does not exist)">WP:MOS</a></p>
<p><b>New page</b></p><div>In algebra, more specifically in [[algebraic K-theory]], the '''suspension <math>\Sigma R</math> of a ring ''R''''' is given by<ref>Weibel, III, Ex. 1.15</ref> <math>\Sigma(R) = C(R)/M(R)</math> where <math>C(R)</math> is the ring of all infinite matrices with coefficients in ''R'' having only finitely many nonzero elements in each row or column and <math>M(R)</math> is its ideal of matrices having only finitely many nonzero elements. It is an analog of [[suspension (topology)|suspension]] in topology.<br />
<br />
One then has: <math>K_i(R) \simeq K_{i+1}(\Sigma R)</math>.<br />
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== References ==<br />
{{reflist}}<br />
* C. Weibel "[http://www.math.rutgers.edu/~weibel/Kbook.html The K-book: An introduction to algebraic K-theory]"<br />
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[[Category:Algebra]]<br />
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{{algebra-stub}}</div>
en>Michael Hardy