<?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></Volume>
				<Issue>Articles in Press</Issue>
				<PubDate PubStatus="epublish">
					<Year>2011</Year>
					<Month>06</Month>
					<Day>01</Day>
				</PubDate>
			</Journal>
<ArticleTitle>On co-Noetherian dimension of rings</ArticleTitle><FirstPage></FirstPage>
			<LastPage></LastPage>
			<Language>en</Language>
<AuthorList>
<Author>
					<FirstName>Mohammad Reza</FirstName>
					<LastName>Vedadi</LastName>
					<Affiliation>Department of of Mathematical Sciences, Isfahan University of
Technology, Isfahan 84156-83111,</Affiliation>
				</Author>
<Author>
					<FirstName>Ahmad </FirstName>
					<LastName>Haghany</LastName>
					<Affiliation>Department of Mathematical Sciences, Isfahan University of
Technology, Isfahan 84156-83111</Affiliation>
				</Author>
</AuthorList>
			<History>
				<PubDate PubStatus="received">
					<Year>2011</Year>
					<Month>05</Month>
					<Day>29</Day>
				</PubDate>
			</History>
		<Abstract><![CDATA[We define and study
co-Noetherian dimension of rings for which the injective envelope
of simple modules have finite Krull-dimension. This  is a Morita
invariant dimension that measures how far the ring is from being
co-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 $leq
n$ is closed under homomorphic images and finite normalizing
extensions, and that for each $n$ there exist rings with
co-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 each
other.]]></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>