<?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>39</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2013</Year>
					<Month>03</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>The Quasi-morphic Property of Group</ArticleTitle><FirstPage>175</FirstPage>
			<LastPage>185</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Q. </FirstName>
					<LastName>Wang</LastName>
					<Affiliation>Department of Mathematics and Systems Science, National University of Defense Technology, P.R.China 410073,Changsha, China.</Affiliation>
				</Author>
<Author>
					<FirstName>K. </FirstName>
					<LastName>Long</LastName>
					<Affiliation>Department of Mathematics and Systems Science, National University of Defense Technology ,P.R.China 410073, Changsha, China.</Affiliation>
				</Author>
<Author>
					<FirstName>L. </FirstName>
					<LastName>Feng</LastName>
					<Affiliation>Department of Mathematics and Systems Science, National University of Defense
 Technology, P.R.China  410073, Changsha, China.</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2011</Year>
					<Month>05</Month>
					<Day>28</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any normal subgroup K and N such that G/K≌N, there exist normal subgroup T and H such that G/T≌K and G/N≌H. Further, we investigate the quasi-morphic property of finitely generated abelian group and get that a finitely generated abelian group is quasi-morphic if and only if it is finite.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">quasi-morphic group</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">finitely generated abelian group</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">normal endomorphism</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>