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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>Applications of epi-retractable modules</ArticleTitle><FirstPage>469</FirstPage>
			<LastPage>477</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Bashishth Muni</FirstName>
					<LastName>Pandeya</LastName>
					<Affiliation>Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.</Affiliation>
				</Author>
<Author>
					<FirstName>Avanish Kumar</FirstName>
					<LastName>Chaturvedi</LastName>
					<Affiliation>Department of Mathematics, Jaypee Institute of Information Technology,
(Deemed University) A-10, Sector-62, Noida-201307 (UP), India</Affiliation>
				</Author>
<Author>
					<FirstName>Ashok Ji</FirstName>
					<LastName>Gupta</LastName>
					<Affiliation>Department of Applied Mathematics, Institute of Technology, Banaras Hindu University,
Varanasi-221005, India.</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>09</Month>
					<Day>17</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[An R-module M is called epi-retractable if every submodule of MR is a homomorphic image of M. It is shown that if R is a right perfect ring, then every projective slightly compressible module MR is epi-retractable. If R is a Noetherian ring, then every epi-retractable right R-module has direct sum of uniform submodules. If endomorphism ring of a module MR is von-Neumann regular, then M is semi-simple if and only if M is epi-retractable. If R is a quasi Frobenius ring, then R is a right hereditary ring if and only if every injective right R-module is semi-simple. A ring R is semi-simple if and only if R is right hereditary and every epiretractable right R-module is projective. Moreover, a ring R is semi-simple if and only if R is a pri and von-Neumann regular.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Epi-retractable modules</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">semi-simple rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">perfect rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">hereditary rings</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">von-Numann regular rings</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>