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	<title>Spec o&#039; Math</title>
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	<link>http://specomath.wordpress.com</link>
	<description>Just another math blog</description>
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		<title>Spec o&#039; Math</title>
		<link>http://specomath.wordpress.com</link>
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		<title>Derived Functors</title>
		<link>http://specomath.wordpress.com/2009/10/27/derived-functors/</link>
		<comments>http://specomath.wordpress.com/2009/10/27/derived-functors/#comments</comments>
		<pubDate>Tue, 27 Oct 2009 08:43:23 +0000</pubDate>
		<dc:creator>shallow33</dc:creator>
				<category><![CDATA[Category Theory]]></category>
		<category><![CDATA[Homological Algebra]]></category>
		<category><![CDATA[Abelian Categories]]></category>
		<category><![CDATA[complexes]]></category>
		<category><![CDATA[Derived Functors]]></category>
		<category><![CDATA[Dummit & Foote]]></category>
		<category><![CDATA[Functors]]></category>
		<category><![CDATA[Weibel]]></category>

		<guid isPermaLink="false">http://specomath.wordpress.com/?p=152</guid>
		<description><![CDATA[While studying commutative algebra and module theory, you&#8217;ll eventually be introduced to projective and injective modules. Then, suddenly, people will start throwing around words like derived functors, chain complexes, Ext and Tor. It can all be pretty daunting, especially if homological algebra and category theory is only taught as a &#8216;side-dish&#8217; on a need to [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=specomath.wordpress.com&amp;blog=9934195&amp;post=152&amp;subd=specomath&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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		<item>
		<title>Update</title>
		<link>http://specomath.wordpress.com/2009/10/25/update/</link>
		<comments>http://specomath.wordpress.com/2009/10/25/update/#comments</comments>
		<pubDate>Sun, 25 Oct 2009 03:07:14 +0000</pubDate>
		<dc:creator>shallow33</dc:creator>
				<category><![CDATA[Updates]]></category>

		<guid isPermaLink="false">http://specomath.wordpress.com/2009/10/25/update/</guid>
		<description><![CDATA[I&#8217;m studying up on some homological algebra to build up some machinery like derived functors. Shouldn&#8217;t be long until I have something worthwhile to post. Posted in Updates<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=specomath.wordpress.com&amp;blog=9934195&amp;post=143&amp;subd=specomath&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">shallow33</media:title>
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		<item>
		<title>Variety-style look with Max Spec</title>
		<link>http://specomath.wordpress.com/2009/10/17/variety-style-look-with-max-spec/</link>
		<comments>http://specomath.wordpress.com/2009/10/17/variety-style-look-with-max-spec/#comments</comments>
		<pubDate>Sat, 17 Oct 2009 09:11:02 +0000</pubDate>
		<dc:creator>shallow33</dc:creator>
				<category><![CDATA[Commutative Algebra]]></category>
		<category><![CDATA[Boolean rings]]></category>
		<category><![CDATA[Max Spec]]></category>

		<guid isPermaLink="false">http://specomath.wordpress.com/?p=104</guid>
		<description><![CDATA[Here is an interesting bit on Max Spec that I pulled from the exercises in Atiyah &#38; Macdonald&#8217;s Introduction to Commutative Algebra, anybody familiar with that masterpiece should recognize some of the subject matter from the earlier posts. As a quick reference: for an arbitrary ring , the subspace of maximal ideals of is called [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=specomath.wordpress.com&amp;blog=9934195&amp;post=104&amp;subd=specomath&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>2</slash:comments>
	
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			<media:title type="html">shallow33</media:title>
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		<item>
		<title>Boolean rings and Spec</title>
		<link>http://specomath.wordpress.com/2009/10/15/boolean-rings-and-spec/</link>
		<comments>http://specomath.wordpress.com/2009/10/15/boolean-rings-and-spec/#comments</comments>
		<pubDate>Thu, 15 Oct 2009 00:03:58 +0000</pubDate>
		<dc:creator>shallow33</dc:creator>
				<category><![CDATA[Commutative Algebra]]></category>
		<category><![CDATA[Boolean rings]]></category>
		<category><![CDATA[Commutative Rings]]></category>
		<category><![CDATA[Max Spec]]></category>
		<category><![CDATA[Spec]]></category>

		<guid isPermaLink="false">http://specomath.wordpress.com/?p=6</guid>
		<description><![CDATA[Boolean Ring A Boolean ring is a ring with every element satisfying From this we can deduce a couple other quick facts about Boolean rings. for all every Boolean ring is commutative every prime ideal is maximal, and is a field with two elements every finitely generated ideal in is principal For the first one  [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=specomath.wordpress.com&amp;blog=9934195&amp;post=6&amp;subd=specomath&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>0</slash:comments>
	
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			<media:title type="html">shallow33</media:title>
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		<item>
		<title>Primary Decomposition and Irreducible Components</title>
		<link>http://specomath.wordpress.com/2009/10/14/primary-decomp-irred-comp/</link>
		<comments>http://specomath.wordpress.com/2009/10/14/primary-decomp-irred-comp/#comments</comments>
		<pubDate>Wed, 14 Oct 2009 12:43:34 +0000</pubDate>
		<dc:creator>shallow33</dc:creator>
				<category><![CDATA[Commutative Algebra]]></category>

		<guid isPermaLink="false"></guid>
		<description><![CDATA[What is Spec? In the notation of Atiyah &#38; McDonald, let denote the closed set of all prime ideals which contain the set , and denote the open complement of for each . It is straight forward to see that if is the ideal generated by , then Spec and These results show that the [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=specomath.wordpress.com&amp;blog=9934195&amp;post=1&amp;subd=specomath&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>2</slash:comments>
	
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