Geodesic
Decomposition of finitely generated modules using Fitting ideals
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1179-1190.

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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.
DOI : 10.21136/CMJ.2020.0350-19
Classification : 13C05, 13D05
Keywords: Fitting ideal; torsion submodule; regular element 
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     title = {Decomposition of finitely generated modules using {Fitting} ideals},
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Hadjirezaei, Somayeh; Hedayat, Sina. Decomposition of finitely generated modules using Fitting ideals. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1179-1190. doi : 10.21136/CMJ.2020.0350-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0350-19/

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