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<!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>Connections between C(X) and C(Y), where Y is a subspace of X</ArticleTitle><FirstPage>109</FirstPage>
			<LastPage>126</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>A. </FirstName>
					<LastName>Aliabad</LastName>
					<Affiliation></Affiliation>
				</Author>
<Author>
					<FirstName>M. </FirstName>
					<LastName>Badie</LastName>
					<Affiliation></Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>11</Month>
					<Day>29</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[In this paper, we introduce a method by which we can find a close connection between the set of prime $z$-ideals of $C(X)$ and the same of $C(Y)$, for some special subset $Y$ of $X$. For instance, if $Y=Coz(f)$ for some $fin C(X)$, then there exists a one-to-one correspondence between the set of prime $z$-ideals of $C(Y)$ and the set of prime $z$-ideals of $C(X)$ not containing $f$. Moreover, considering these relations, we obtain some new characterizations of classical concepts in the context of $C(X)$. For example, $X$ is an $F$-space if and only if the extension $Phi : beta Yrightarrowbeta X$ of the identity map $imath: Yrightarrow X$ is one-to-one, for each $z$-embedded subspace $Y$ of $X$. Supposing $p$ is a non-isolated $G_delta$-point in $X$ and $Y=Xsetminus{p}$, we prove that $M^p(X)$ contains no non-trivial maximal $z$-ideal if and only if $pinbe X$ is a quasi $P$-point if and only if each point of $beta Y setminus Y$ is a $P$-point with respect to $Y$.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">$z$-filter</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">prime
$z$-ideal</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">prime $z^circ$-ideal</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">$P$-space</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">quasi $P$-space</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">$F$-space</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">$CC$-space</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">$G_delta$-point</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>