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<ArticleSet>
<Article>
<Journal>
				<PublisherName>Shahrood University of Technology</PublisherName>
				<JournalTitle>Journal of Algebraic Systems</JournalTitle>
				<Issn>2345-5128</Issn>
				<Volume>2</Volume>
				<Issue>2</Issue>
				<PubDate PubStatus="epublish">
					<Year>2015</Year>
					<Month>02</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>COHEN-MACAULAY HOMOLOGICAL DIMENSIONS WITH RESPECT TO AMALGAMATED DUPLICATION</ArticleTitle>
<VernacularTitle></VernacularTitle>
			<FirstPage>125</FirstPage>
			<LastPage>135</LastPage>
			<ELocationID EIdType="pii">361</ELocationID>
			
<ELocationID EIdType="doi">10.22044/jas.2015.361</ELocationID>
			
			<Language>EN</Language>
<AuthorList>
<Author>
					<FirstName>A.</FirstName>
					<LastName>Esmaeelnezhad</LastName>
<Affiliation>Faculty of Mathematical sciences and computer, University of Kharazmi, Tehran, Iran.</Affiliation>

</Author>
</AuthorList>
				<PublicationType>Journal Article</PublicationType>
			<History>
				<PubDate PubStatus="received">
					<Year>2014</Year>
					<Month>07</Month>
					<Day>24</Day>
				</PubDate>
			</History>
		<Abstract>In this paper we use &quot;ring changed&#039;&#039; Gorenstein homological dimensions to define Cohen-Macaulay injective, projective and flat dimensions. For doing this we use the amalgamated duplication of the base ring with semi-dualizing ideals. Among other results, we prove that finiteness of these new dimensions characterizes Cohen-Macaulay rings with dualizing ideals.</Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Semi-dualizing ideal</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Amalgamated duplication</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Gorenstein homological dimension</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Cohen-Macaulay homological dimension</Param>
			</Object>
		</ObjectList>
<ArchiveCopySource DocType="pdf">https://jas.shahroodut.ac.ir/article_361_50a50dd113314eebf1bad604ed0e91b0.pdf</ArchiveCopySource>
</Article>
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