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<Article>
<Journal>
				<PublisherName>Iranian Mathematical Society (IMS)</PublisherName>
				<JournalTitle>Bulletin of the Iranian Mathematical Society</JournalTitle>
				<Issn>1017-060X</Issn>
				<Volume>38</Volume>
				<Issue>3</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>09</Month>
					<Day>15</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On Jordan left derivations and generalized Jordan left derivations of matrix rings</ArticleTitle><FirstPage>689</FirstPage>
			<LastPage>698</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Nader Mohammad</FirstName>
					<LastName>Ghosseiri</LastName>
					<Affiliation>Academic member of University of Kurdistan</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>08</Month>
					<Day>10</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[Abstract. Let R be a 2-torsion free ring with identity. In this paper, first we prove that any Jordan left derivation (hence, any left derivation) on the full matrix ringMn(R) (n  2) is identically zero, and any generalized left derivation on this ring is a right centralizer. Next, we show that if R is also a prime ring and n  1, then any Jordan left derivation on the ring Tn(R) of all n×n upper triangular matrices over R is a left derivation, and any generalized Jordan left derivation on Tn(R) is a generalized left derivation. Moreover, we prove that any generalized left derivation on Tn(R) is decomposed into the sum of a right centralizer and a Jordan left derivation. Some related results are also obtained.]]></Abstract>
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			<Param Name="value">Prime ring</Param>
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			<Param Name="value">left derivation</Param>
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			<Object Type="keyword">
			<Param Name="value">Jordan left derivation</Param>
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			<Param Name="value">generalized left derivation</Param>
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			<Param Name="value">generalized Jordan left derivation</Param>
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