https://commalg.subwiki.org/w/index.php?action=history&feed=atom&title=Residue_fieldResidue field - Revision history2026-07-26T22:57:52ZRevision history for this page on the wikiMediaWiki 1.41.2https://commalg.subwiki.org/w/index.php?title=Residue_field&diff=1151&oldid=prevVipul: 1 revision2008-05-12T16:34:29Z<p>1 revision</p>
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</td></tr></table>Vipulhttps://commalg.subwiki.org/w/index.php?title=Residue_field&diff=1150&oldid=prevVipul at 01:48, 9 August 20072007-08-09T01:48:17Z<p></p>
<p><b>New page</b></p><div>==Definition==<br />
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For a [[local ring]], the '''residue field''' or '''residue class field''' is defined as the quotient of the local ring by its unique [[maximal ideal]].<br />
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Note that the residue field differs from the [[field of fractions]], which is actually a field ''containing'' the ring.</div>Vipul