<?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. 4</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>12</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Module cohomology group of inverse semigroup algebras</ArticleTitle><FirstPage>157</FirstPage>
			<LastPage>169</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>E. </FirstName>
					<LastName>Nasrabadi</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>A. </FirstName>
					<LastName>Pourabbas</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>10</Month>
					<Day>21</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[Let $S$ be an  inverse semigroup and let $E$ be its subsemigroup of idempotents. In this paper we define the $n$-th module cohomology group  of Banach algebras and  show that the first module cohomology group $HH^1_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is zero, for every odd $ninmathbb{N}$. Next,  for a Clifford semigroup $S$ we show that $HH^2_{ell^1(E)}(ell^1(S),ell^1(S)^{(n)})$ is a Banach space, for every odd $ninmathbb{N}$.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Module Amenability</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">inverse semigroup algebra</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">module cohomology group</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>