## 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.

### MSC:

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

### Keywords:

Fitting ideal; torsion submodule; regular element
Full Text:

### References:

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