https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Template%3AStrongly_local_curing_property 2026-08-17T07:50:30Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Template:Strongly_local_curing_property&diff=1600&oldid=prev 2008-05-12T18:05:51Z

<p>3 revisions</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <tr class="diff-title" lang="en"> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="1" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 18:05, 12 May 2008</td> </tr><tr><td colspan="2" class="diff-notice" lang="en"><div class="mw-diff-empty">(No difference)</div> </td></tr></table>

Vipul https://commalg.subwiki.org/w/index.php?title=Template:Strongly_local_curing_property&diff=1599&oldid=prev 2008-03-09T19:48:40Z

<p><span dir="auto"><span class="autocomment">Strong local nature</span></span></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <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 19:48, 9 March 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <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>===Strong local nature===</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>===Strong local nature===</div></td></tr> <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;"><br></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;"><br></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>''This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property''&lt;includeonly&gt;[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Commutative unital ring metaproperty satisfaction templates]]&lt;/noinclude&gt;</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;">{{quotation|</ins>''This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property''<ins style="font-weight: bold; text-decoration: none;">&lt;br&gt;[[:Category:Strongly local properties of commutative unital rings|View other strongly local properties of commutative unital rings]]}}</ins>&lt;includeonly&gt;[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Commutative unital ring metaproperty satisfaction templates]]&lt;/noinclude&gt;</div></td></tr> </table>

Vipul https://commalg.subwiki.org/w/index.php?title=Template:Strongly_local_curing_property&diff=1598&oldid=prev 2008-01-08T00:17:04Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <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 00:17, 8 January 2008</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <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;">===Strong local nature===</ins></div></td></tr> <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;"></ins></div></td></tr> <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>&#039;&#039;This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property&#039;&#039;&lt;includeonly&gt;[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Commutative unital ring metaproperty satisfaction templates]]&lt;/noinclude&gt;</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>&#039;&#039;This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property&#039;&#039;&lt;includeonly&gt;[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Commutative unital ring metaproperty satisfaction templates]]&lt;/noinclude&gt;</div></td></tr> </table>

Vipul https://commalg.subwiki.org/w/index.php?title=Template:Strongly_local_curing_property&diff=1597&oldid=prev 2008-01-08T00:13:26Z

<p></p> <p><b>New page</b></p><div>&#039;&#039;This [[property of commutative unital rings]] is strongly local in the following sense: a [[commutative unital ring]] has the property iff its [[localization at a prime ideal|localization]] at each [[prime ideal]] has the property, iff its localization at each [[maximal ideal]] has the property&#039;&#039;&lt;includeonly&gt;[[Category:Strongly local properties of commutative unital rings]][[Category:Local properties of commutative unital rings]][[Category:Localization-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Commutative unital ring metaproperty satisfaction templates]]&lt;/noinclude&gt;</div>

Vipul