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<!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>38</Volume>
				<Issue>1</Issue>
				<PubDate PubStatus="epublish">
					<Year>2012</Year>
					<Month>04</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On co-Noetherian dimension of rings</ArticleTitle><FirstPage>113</FirstPage>
			<LastPage>122</LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>A. </FirstName>
					<LastName>Haghany</LastName>
					<Affiliation>Isfahan University of Technology</Affiliation>
				</Author>
<Author>
					<FirstName>M. R.</FirstName>
					<LastName>Vedadi</LastName>
					<Affiliation>Isfahan University of Technology</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2010</Year>
					<Month>03</Month>
					<Day>05</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[We define and studyco-Noetherian dimension of rings for which the injective envelopeof simple modules have finite Krull-dimension. This  is a Moritainvariant dimension that measures how far the ring is from beingco-Noetherian. The co-Noetherian dimension of certain rings,including commutative rings, are determined. It is shown that the class ${mathcal W}_n$ of rings with co-Noetherian dimension $leqn$ is closed under homomorphic images and finite normalizingextensions, and that for each $n$ there exist rings withco-Noetherian dimension $n$. The possible relations between Krull and co-Noetherian dimensions  are investigated, and examples are provided to show that these dimensions are independent of eachother.]]></Abstract>
		<ObjectList>
			<Object Type="keyword">
			<Param Name="value">Co-Noetherian</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">finitely cogenerated</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">Krull dimension</Param>
			</Object>
			<Object Type="keyword">
			<Param Name="value">normalizing extension</Param>
			</Object>
		</ObjectList>
</Article>
</ArticleSet>