https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Template%3APoly-closed_idp 2026-04-09T07:37:29Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Template:Poly-closed_idp&diff=1538&oldid=prev 2008-05-12T18:05:47Z

<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:Poly-closed_idp&diff=1537&oldid=prev 2008-03-15T22:42:30Z

<p><span dir="auto"><span class="autocomment">Polynomial-closedness</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 22:42, 15 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>===Polynomial-closedness===</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>===Polynomial-closedness===</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 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 <ins style="font-weight: bold; text-decoration: none;">[[</ins>property of integral domain]]s is closed under taking polynomials, <ins style="font-weight: bold; text-decoration: none;">i.e.</ins>, whenever <ins style="font-weight: bold; text-decoration: none;">an [[integral domain]] </ins>has this property, so does the polynomial ring in one variable over it.''<ins style="font-weight: bold; text-decoration: none;">&lt;br&gt;[[:Category:Polynomial-closed properties of integral domains|View other polynomial-closed properties of integral domains]] OR [[:Category:Polynomial-closed properties of commutative unital rings|view polynomial-closed properties of commutative unital rings]]}}</ins>&lt;includeonly&gt;[[Category:Polynomial-closed properties of integral domains]][[Category:Polynomial-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Integral domain metaproperty satisfaction templates]]&lt;/noinclude&gt;</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>''This property of <del style="font-weight: bold; text-decoration: none;">[[</del>integral domain]]s is closed under taking polynomials, <del style="font-weight: bold; text-decoration: none;">that is</del>, whenever <del style="font-weight: bold; text-decoration: none;"> a ring </del>has this property, so does the polynomial ring in one variable over it.''&lt;includeonly&gt;[[Category:Polynomial-closed properties of integral domains]][[Category:Polynomial-closed properties of commutative unital rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Integral domain metaproperty satisfaction templates]]&lt;/noinclude&gt;</div></td><td colspan="2" class="diff-side-added"></td></tr> </table>

Vipul https://commalg.subwiki.org/w/index.php?title=Template:Poly-closed_idp&diff=1536&oldid=prev 2007-08-08T11:19:30Z

<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 11:19, 8 August 2007</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>===Polynomial-closedness===</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>===Polynomial-closedness===</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 [[integral domain]]s is closed under taking polynomials, that is, whenever  a ring has this property, so does the polynomial ring in one variable over it.''&lt;includeonly&gt;[[Category:Polynomial-closed properties of integral domains]][[Category:Polynomial-closed properties of commutative rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Integral domain 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>''This property of [[integral domain]]s is closed under taking polynomials, that is, whenever  a ring has this property, so does the polynomial ring in one variable over it.''&lt;includeonly&gt;[[Category:Polynomial-closed properties of integral domains]][[Category:Polynomial-closed properties of commutative <ins style="font-weight: bold; text-decoration: none;">unital </ins>rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Integral domain metaproperty satisfaction templates]]&lt;/noinclude&gt;</div></td></tr> </table>

Vipul https://commalg.subwiki.org/w/index.php?title=Template:Poly-closed_idp&diff=1535&oldid=prev 2007-04-17T00:21:31Z

<p></p> <p><b>New page</b></p><div>===Polynomial-closedness===<br /> <br /> &#039;&#039;This property of [[integral domain]]s is closed under taking polynomials, that is, whenever a ring has this property, so does the polynomial ring in one variable over it.&#039;&#039;&lt;includeonly&gt;[[Category:Polynomial-closed properties of integral domains]][[Category:Polynomial-closed properties of commutative rings]]&lt;/includeonly&gt;&lt;noinclude&gt;[[Category:Integral domain metaproperty satisfaction templates]]&lt;/noinclude&gt;</div>

Vipul