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

Voir la notice de l'article provenant de la source Math-Net.Ru

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 
@article{ADM_2018_25_1_a2,
     author = {Somayeh Hadjirezaei and Somayeh Karimzadeh},
     title = {On the {Fitting} ideals of a multiplication module},
     journal = {Algebra and discrete mathematics},
     pages = {27--34},
     publisher = {mathdoc},
     volume = {25},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2018_25_1_a2/}
}
TY  - JOUR
AU  - Somayeh Hadjirezaei
AU  - Somayeh Karimzadeh
TI  - On the Fitting ideals of a multiplication module
JO  - Algebra and discrete mathematics
PY  - 2018
SP  - 27
EP  - 34
VL  - 25
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2018_25_1_a2/
LA  - en
ID  - ADM_2018_25_1_a2
ER  - 
%0 Journal Article
%A Somayeh Hadjirezaei
%A Somayeh Karimzadeh
%T On the Fitting ideals of a multiplication module
%J Algebra and discrete mathematics
%D 2018
%P 27-34
%V 25
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2018_25_1_a2/
%G en
%F ADM_2018_25_1_a2
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/