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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>07</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>Projective maximal submodules of extending  regular modules</ArticleTitle><FirstPage>403</FirstPage>
			<LastPage>412</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>E. </FirstName>
					<LastName>Momtahan</LastName>
					<Affiliation>Yasouj University</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2009</Year>
					<Month>04</Month>
					<Day>30</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[We show  that a projective maximal submodule of afinitely generated, regular, extending module is a directsummand. Hence, every finitely generated, regular, extendingmodule with projective maximal submodules is semisimple. As aconsequence, we observe that every regular, hereditary, extendingmodule is semisimple. This generalizes and simplifies a result of  Dung and   Smith. As another consequence, we observe thatevery right continuous ring, whose maximal right ideals areprojective, is semisimple Artinian. This generalizes some resultsof   Osofsky and   Karamzadeh. We also observe thatfour classes of rings, namely right $aleph_0$-continuous rings,right continuous rings, right $aleph_0$-continuous regular ringsand right continuous regular rings are not axiomatizable.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Continuous rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">extending rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">regular
rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">aleph_0-self-injective rings</Param>
			</Object>
		</ObjectList>
</Article>
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