Decomposition of finitely generated modules using Fitting ideals. (English) Zbl 07285989

Summary: 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.


13C05 Structure, classification theorems for modules and ideals in commutative rings
13D05 Homological dimension and commutative rings
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