On the Fitting ideals of a multiplication module

In this paper, we characterize all finitely generated multiplication \(R\)-modules whose the first nonzero Fitting ideal of them is contained in only finitely many maximal ideals. Also, we prove that a finitely generated multiplication \(R\)-module \(M\) is faithful if and only if \(M\) is a project...

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Datum:2018
Hauptverfasser: Hadjirezaei, Somayeh, Karimzadeh, Somayeh
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/64
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics