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	Comments on: The Image of an Ideal Under a Surjective Ring Homomorphism is an Ideal	</title>
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				<title>
				By: R khan				</title>
				<link>https://yutsumura.com/the-image-of-an-ideal-under-a-surjective-ring-homomorphism-is-an-ideal/#comment-75752</link>
		<dc:creator><![CDATA[R khan]]></dc:creator>
		<pubDate>Thu, 24 Oct 2019 22:12:24 +0000</pubDate>
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					<description><![CDATA[Good work ...
Plz more related proofs]]></description>
		<content:encoded><![CDATA[<p>Good work &#8230;<br />
Plz more related proofs</p>
]]></content:encoded>
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				By: Every Ideal of the Direct Product of Rings is the Direct Product of Ideals &#8211; Problems in Mathematics				</title>
				<link>https://yutsumura.com/the-image-of-an-ideal-under-a-surjective-ring-homomorphism-is-an-ideal/#comment-2113</link>
		<dc:creator><![CDATA[Every Ideal of the Direct Product of Rings is the Direct Product of Ideals &#8211; Problems in Mathematics]]></dc:creator>
		<pubDate>Fri, 11 Aug 2017 21:39:05 +0000</pubDate>
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					<description><![CDATA[[&#8230;] Since the natural projections are surjective ring homomorphisms, the images $I$ and $J$ are ideals in $R$ and $S$, respectively. (see the post The Image of an Ideal Under a Surjective Ring Homomorphism is an Ideal.) [&#8230;]]]></description>
		<content:encoded><![CDATA[<p>[&#8230;] Since the natural projections are surjective ring homomorphisms, the images $I$ and $J$ are ideals in $R$ and $S$, respectively. (see the post The Image of an Ideal Under a Surjective Ring Homomorphism is an Ideal.) [&#8230;]</p>
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