https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Proper_idealProper ideal - Revision history2026-05-24T12:27:56ZRevision history for this page on the wikiMediaWiki 1.41.2https://commalg.subwiki.org/w/index.php?title=Proper_ideal&diff=1054&oldid=prevVipul: 1 revision2008-05-12T16:33:43Z<p>1 revision</p>
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</td></tr></table>Vipulhttps://commalg.subwiki.org/w/index.php?title=Proper_ideal&diff=1053&oldid=prevVipul: New page: {{basicdef}} {{curing-ideal property}} ==Definition== ===Symbol-free definition=== An ideal in a commutative unital ring is termed a '''proper ideal''' if it satisfies the follow...2008-03-03T19:11:57Z<p>New page: {{basicdef}} {{curing-ideal property}} ==Definition== ===Symbol-free definition=== An <a href="/wiki/Ideal" title="Ideal">ideal</a> in a <a href="/wiki/Commutative_unital_ring" title="Commutative unital ring">commutative unital ring</a> is termed a '''proper ideal''' if it satisfies the follow...</p>
<p><b>New page</b></p><div>{{basicdef}}<br />
{{curing-ideal property}}<br />
==Definition==<br />
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===Symbol-free definition===<br />
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An [[ideal]] in a [[commutative unital ring]] is termed a '''proper ideal''' if it satisfies the following equivalent conditions:<br />
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* The element <math>1</math> of the ring, does ''not'' lie inside the ideal<br />
* The ideal is not equal to the whole ring<br />
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===Definition with symbols===<br />
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An [[ideal]] <math>I</math> in a [[commutative unital ring]] <math>R</math> is termed a '''proper ideal''' if it satisfies the following equivalent conditions:<br />
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* <math>1 \notin I</math><br />
* <math>I \ne R</math></div>Vipul