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逆元 - 変更履歴
2026-04-22T05:39:55Z
このウィキのこのページに関する変更履歴
MediaWiki 1.25.1
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小内山晶: /* 関連記事 */
2010-08-19T18:09:20Z
<p><span dir="auto"><span class="autocomment">関連記事</span></span></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">←前の版</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">2010年8月19日 (木) 18:09時点における版</td>
</tr><tr><td colspan="2" class="diff-lineno" id="L11" >11行目:</td>
<td colspan="2" class="diff-lineno">11行目:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>*[[交換法則]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>*[[交換法則]]</div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>*[[代数的構造]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>*[[代数的構造]]</div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; 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;">{{jawp}}</ins></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[Category:代数的構造|きやくけん]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[Category:代数的構造|きやくけん]]</div></td></tr>
<tr><td colspan="2" class="diff-lineno" id="L16" >16行目:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[en:Inverse element]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[en:Inverse element]]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;"><div style="margin:0.5em 0;background-color:#f6f6f6;border:1px solid #ccc;padding:3px;font-size:80%"></del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;">このページは [http://ja.wikipedia.org/ Wikipedia日本語版]由来のコンテンツを利用しています。もとの記事は[http://ja.wikipedia.org/wiki/逆元 '''逆元''']にあります。執筆者のリストは[http://ja.wikipedia.org/w/index.php?title=逆元&amp;action=history '''履歴''']をご覧ください。 </del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;">[[Yourpedia]]と同じく、[http://ja.wikipedia.org/wiki/Wikipedia Wikipedia]は[http://www.gnu.org/copyleft/fdl.html GFDLのライセンス]で提供されています。</del></div></td><td colspan="2"> </td></tr>
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小内山晶
http://35.81.54.121/mediawiki/index.php?title=%E9%80%86%E5%85%83&diff=4286&oldid=prev
2007年5月17日 (木) 13:48にキリカによる
2007-05-17T13:48:45Z
<p></p>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">2007年5月17日 (木) 13:48時点における版</td>
</tr><tr><td colspan="2" class="diff-lineno" id="L15" >15行目:</td>
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<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[Category:数学に関する記事|きやくけん]]  </div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[Category:数学に関する記事|きやくけん]]  </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;">[[bg:Обратен елемент]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;">[[cs:Inverzní prvek]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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;">[[de:Inverses Element]]</del></div></td><td colspan="2"> </td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[en:Inverse element]]</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>[[en:Inverse element]]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[[es</del>:<del class="diffchange diffchange-inline">Elemento simétrico]]</del></div></td><td class='diff-marker'>+</td><td style="color:black; 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> </div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[fr</del>:<del class="diffchange diffchange-inline">Élément symétrique</del>]<del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline"><div style="margin:0.5em 0;background-color:#f6f6f6;border</ins>:<ins class="diffchange diffchange-inline">1px solid #ccc;padding:3px;font-size:80%"></ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[it</del>:<del class="diffchange diffchange-inline">Elemento inverso</del>]<del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">このページは </ins>[<ins class="diffchange diffchange-inline">http</ins>:<ins class="diffchange diffchange-inline">//ja.wikipedia.org/ Wikipedia日本語版</ins>]<ins class="diffchange diffchange-inline">由来のコンテンツを利用しています。もとの記事は</ins>[<ins class="diffchange diffchange-inline">http</ins>:<ins class="diffchange diffchange-inline">//ja.wikipedia.org/wiki/逆元 '''逆元'''</ins>]<ins class="diffchange diffchange-inline">にあります。執筆者のリストは</ins>[<ins class="diffchange diffchange-inline">http</ins>:<ins class="diffchange diffchange-inline">//ja.wikipedia.org/w/index.php?title=逆元&amp;action=history '''履歴'''</ins>]<ins class="diffchange diffchange-inline">をご覧ください。 </ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[</del>[<del class="diffchange diffchange-inline">ko</del>:<del class="diffchange diffchange-inline">역원]</del>]</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">Yourpedia</ins>]]<ins class="diffchange diffchange-inline">と同じく、</ins>[<ins class="diffchange diffchange-inline">http</ins>:<ins class="diffchange diffchange-inline">//ja.wikipedia.org/wiki/Wikipedia Wikipedia</ins>]<ins class="diffchange diffchange-inline">は</ins>[<ins class="diffchange diffchange-inline">http</ins>:<ins class="diffchange diffchange-inline">//www.gnu.org/copyleft/fdl.html GFDLのライセンス</ins>]<ins class="diffchange diffchange-inline">で提供されています。</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">nl:Inverse element</del>]]</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">コンテンツを再利用する際には同じくGFDLのライセンスを採用してください。</ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[pl</del>:<del class="diffchange diffchange-inline">Element odwrotny</del>]<del class="diffchange diffchange-inline">]</del></div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline"></div></ins></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[</del>[<del class="diffchange diffchange-inline">ru</del>:<del class="diffchange diffchange-inline">Обратный элемент]</del>]</div></td><td class='diff-marker'>+</td><td style="color:black; 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 class="diffchange diffchange-inline">Category</ins>:<ins class="diffchange diffchange-inline">Wikipedia出典元の記事|{{PAGENAME}}</ins>]]</div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">[[sk:Inverzný prvok]]</del></div></td><td class='diff-marker'>+</td><td style="color:black; 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></div></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; 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 class="diffchange diffchange-inline">zh</del>:<del class="diffchange diffchange-inline">逆元素</del>]]</div></td><td class='diff-marker'>+</td><td style="color:black; 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></div></td></tr>
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キリカ
http://35.81.54.121/mediawiki/index.php?title=%E9%80%86%E5%85%83&diff=4285&oldid=prev
キリカ: http://ja.wikipedia.org/w/index.php?title=逆元&oldid=11440342
2007-05-17T13:48:15Z
<p>http://ja.wikipedia.org/w/index.php?title=逆元&oldid=11440342</p>
<p><b>新規ページ</b></p><div>[[二項演算]] &middot; の定義された[[集合]]が[[単位元]] e を持つとき、次の条件を満たす[[元 (集合)|元]] a<sup>-1</sup> を a の'''逆元''' （ぎゃくげん, {{Lang|en|inverse element}}） という。<br />
#a &middot; a<sup>-1</sup> = e<br />
#a<sup>-1</sup> &middot; a = e<br />
<br />
a が逆元を持つとき、a は'''可逆な'''元である、または a は'''単元'''であるという。<br />
<br />
とくに、a<sup>-1</sup> が 1 を満たす場合、'''右逆元'''といい、2 を満たすとき'''左逆元'''という。逆元は左逆元であり、かつ右逆元である。簡単に言うと、値にある値を掛けて「１」となった場合、「１」にしたある値を「逆元」と呼ぶ。掛けても値を変えないある値は「[[単位元]]」と呼ぶ。<br />
<br />
== 関連記事 ==<br />
*[[結合法則]]<br />
*[[交換法則]]<br />
*[[代数的構造]]<br />
<br />
[[Category:代数的構造|きやくけん]]<br />
[[Category:数学に関する記事|きやくけん]] <br />
<br />
[[bg:Обратен елемент]]<br />
[[cs:Inverzní prvek]]<br />
[[de:Inverses Element]]<br />
[[en:Inverse element]]<br />
[[es:Elemento simétrico]]<br />
[[fr:Élément symétrique]]<br />
[[it:Elemento inverso]]<br />
[[ko:역원]]<br />
[[nl:Inverse element]]<br />
[[pl:Element odwrotny]]<br />
[[ru:Обратный элемент]]<br />
[[sk:Inverzný prvok]]<br />
[[zh:逆元素]]</div>
キリカ