https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Primary_decomposition_of_an_idealPrimary decomposition of an ideal - Revision history2026-04-25T22:06:32ZRevision history for this page on the wikiMediaWiki 1.41.2https://commalg.subwiki.org/w/index.php?title=Primary_decomposition_of_an_ideal&diff=934&oldid=prevVipul: 1 revision2008-05-12T16:28:50Z<p>1 revision</p>
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<p><b>New page</b></p><div>==Definition==<br />
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Let <math>R</math> be a [[commutative unital ring]], and <math>I</math> a proper ideal in <math>R</math>. A '''primary decomposition''' of <math>I</math> is an expression of <math>I</math> as an intersection of finitely many [[primary ideal]]s.<br />
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When <math>R</math> is a [[Noetherian ring]], every proper ideal admits a primary decomposition, and this primary decomposition has certain uniqueness properties. {{further|[[Primary decomposition theorem for ideals]]}}</div>Vipul