<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE ArticleSet PUBLIC "-//NLM//DTD PubMed 2.6//EN" "http://www.ncbi.nlm.nih.gov/corehtml/query/static/PubMed.dtd">
<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>37</Volume>
				<Issue>No. 3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>09</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Extension functors of local cohomology modules</ArticleTitle><FirstPage>117</FirstPage>
			<LastPage>134</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>M. </FirstName>
					<LastName>Aghapournahr</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>A. </FirstName>
					<LastName>Taherizadeh</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>A. </FirstName>
					<LastName>Vahidi</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>10</Month>
					<Day>07</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[Let $R$ be a commutative Noetherian ring with non-zero identity,
$fa$ an ideal of $R$, and $X$ an $R$--module. Here, for fixed
integers $s, t$ and a finite $fa$--torsion $R$--module $N$, we
first study the membership of $Ext^{s+t}_{R}(N, X)$ and
$Ext^{s}_{R}(N, H^{t}_{fa}(X))$ in the Serre subcategories of
the category of $R$--modules. Then, we present some conditions
which ensure the existence of an isomorphism between them.
Finally, we introduce the concept of the Serre cofiniteness as a
generalization of cofiniteness and study this property for
certain local cohomology modules.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Local cohomology modules</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Serre subcategories</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">cofinite
modules</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>