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Decomposition of finitely generated modules using Fitting ideals

Somayeh Hadjirezaei; Sina Hedayat — 2020

Czechoslovak Mathematical Journal

Let $R$ be a commutative Noetherian ring and $M$ be a finitely generated $R$ -module. The main result of this paper is to characterize modules whose first nonzero Fitting ideal is a product of maximal ideals of $R$ , in some cases.

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