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            <front>

                <journal-meta>
                                                                <journal-id>ieja</journal-id>
            <journal-title-group>
                                                                                    <journal-title>International Electronic Journal of Algebra</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">1306-6048</issn>
                                                                                                        <publisher>
                    <publisher-name>Abdullah HARMANCI</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id/>
                                                                                                                                                                                            <title-group>
                                                                                                                        <article-title>MODULES SATISFYING THE ASCENDING CHAIN CONDITION ON SUBMODULES WITH A BOUNDED NUMBER OF GENERATORS</article-title>
                                                                                                                                        </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                <name>
                                    <surname>Smith</surname>
                                    <given-names>Patrick F.</given-names>
                                </name>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20071201">
                    <day>12</day>
                    <month>01</month>
                    <year>2007</year>
                </pub-date>
                                        <volume>2</volume>
                                        <issue>2</issue>
                                        <fpage>71</fpage>
                                        <lpage>82</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20071201">
                        <day>12</day>
                        <month>01</month>
                        <year>2007</year>
                    </date>
                                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2007, International Electronic Journal of Algebra</copyright-statement>
                    <copyright-year>2007</copyright-year>
                    <copyright-holder>International Electronic Journal of Algebra</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>It is proved that if R is a right and left Noetherian ring then the right R-module RI satisfies the ascending chain condition on n-generated submodules, for every positive integer n.</p></abstract>
                                                                                    
            
                                                            <kwd-group>
                                                    <kwd>Chain conditions</kwd>
                                                    <kwd>   Bimodule</kwd>
                                                    <kwd>   Noetherian module</kwd>
                                                    <kwd>   Direct product</kwd>
                                            </kwd-group>
                                                        
                                                                                                                                                    </article-meta>
    </front>
    <back>
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                    </back>
    </article>
