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                <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>MIYASHITA ACTION IN STRONGLY GROUPOID GRADED RINGS</article-title>
                                                                                                                                        </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                <name>
                                    <surname>Öinert</surname>
                                    <given-names>Johan</given-names>
                                </name>
                                                            </contrib>
                                                    <contrib contrib-type="author">
                                                                <name>
                                    <surname>Lundström</surname>
                                    <given-names>Patrik</given-names>
                                </name>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20120601">
                    <day>06</day>
                    <month>01</month>
                    <year>2012</year>
                </pub-date>
                                        <volume>11</volume>
                                        <issue>11</issue>
                                        <fpage>46</fpage>
                                        <lpage>63</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20120601">
                        <day>06</day>
                        <month>01</month>
                        <year>2012</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>We determine the commutant of homogeneous subrings in strongly groupoid graded rings in terms of an action on the ring induced by the grading. Thereby we generalize a classical result of Miyashita from the group graded case to the groupoid graded situation. In the end of the article we exemplify this result. To this end, we show, by an explicit construction, that given a finite groupoid G, equipped with a nonidentity morphism t : d(t) → c(t), there is a strongly G-graded ring R with the properties that each Rs, for s ∈ G, is nonzero and Rt is a nonfree left Rc(t)-module.</p></abstract>
                                                                                    
            
                                                            <kwd-group>
                                                    <kwd>graded rings</kwd>
                                                    <kwd>   commutants</kwd>
                                                    <kwd>   groupoid actions</kwd>
                                                    <kwd>   matrix algebras</kwd>
                                            </kwd-group>
                                                        
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