https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Zero_divisor 2026-04-28T04:56:52Z Revision history for this page on the wiki MediaWiki 1.41.2 https://commalg.subwiki.org/w/index.php?title=Zero_divisor&diff=1358&oldid=prev 2008-05-12T18:05:39Z

<p>1 revision</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=Zero_divisor&diff=1357&oldid=prev 2008-02-09T00:00:12Z

<p>New page: {{curing-element property}} ==Definition== ===Symbol-free definition=== An element in a (nonzero) <a href="/wiki/Commutative_unital_ring" title="Commutative unital ring">commutative unital ring</a> is termed a &#039;&#039;&#039;zero divisor&#039;&#039;&#039; if there exists a nonzero el...</p> <p><b>New page</b></p><div>{{curing-element property}}<br /> <br /> ==Definition==<br /> <br /> ===Symbol-free definition===<br /> <br /> An element in a (nonzero) [[commutative unital ring]] is termed a &#039;&#039;&#039;zero divisor&#039;&#039;&#039; if there exists a nonzero element with which its product is zero.<br /> <br /> ===Definition with symbols===<br /> <br /> An element &lt;math&gt;a&lt;/math&gt; in a ring &lt;math&gt;R&lt;/math&gt; is termed a &#039;&#039;&#039;zero divisor&#039;&#039;&#039; if there exists a &lt;math&gt;b \ne 0&lt;/math&gt; such that &lt;math&gt;ab = 0&lt;/math&gt;.<br /> <br /> ==Relation with other properties==<br /> <br /> ===Stronger properties===<br /> <br /> * [[Nilpotent element]]<br /> <br /> ===Weaker properties===<br /> <br /> * [[Non-invertible element]]</div>

Vipul