Geodesic
On the Fitting ideals of a multiplication module
Algebra and discrete mathematics, Tome 25 (2018) no. 1, pp. 27-34.

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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 projective of constant rank one $R$-module.
Keywords: fitting ideals, projective of constant rank, faithful module.
Mots-clés : multiplication module 
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Somayeh Hadjirezaei; Somayeh Karimzadeh. On the Fitting ideals of a multiplication module. Algebra and discrete mathematics, Tome 25 (2018) no. 1, pp. 27-34. http://geodesic.mathdoc.fr/item/ADM_2018_25_1_a2/

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