Geodesic
Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
Ghader Ghasemi1 ; Kamal Bahmanpour2 ; Jafar A'zami1
1 Faculty of Mathematical Sciences Department of Mathematics University of Mohaghegh Ardabili 56199-11367, Ardabil, Iran
2 Faculty of Mathematical Sciences Department of Mathematics University of Mohaghegh Ardabili 56199-11367, Ardabil, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran
Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 263-270.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $R$ be a commutative Noetherian ring, $I$ a proper ideal of $R$, and $M$ be a finitely generated $R$-module. We provide bounds for the cohomological dimension of the $R$-module $M$ with respect to the ideal $I$ in several cases.
DOI : 10.4064/cm137-2-10
Keywords: commutative noetherian ring proper ideal finitely generated r module provide bounds cohomological dimension r module respect ideal several cases

Ghader Ghasemi 1 ; Kamal Bahmanpour 2 ; Jafar A'zami 1

1 Faculty of Mathematical Sciences Department of Mathematics University of Mohaghegh Ardabili 56199-11367, Ardabil, Iran
2 Faculty of Mathematical Sciences Department of Mathematics University of Mohaghegh Ardabili 56199-11367, Ardabil, Iran and School of Mathematics Institute for Research in Fundamental Sciences (IPM) P.O. Box 19395-5746, Tehran, Iran 
@article{10_4064_cm137_2_10,
     author = {Ghader Ghasemi and Kamal Bahmanpour and Jafar A'zami},
     title = {Upper bounds for the cohomological dimensions of finitely generated modules over a commutative {Noetherian} ring},
     journal = {Colloquium Mathematicum},
     pages = {263--270},
     publisher = {mathdoc},
     volume = {137},
     number = {2},
     year = {2014},
     doi = {10.4064/cm137-2-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-10/}
}
TY  - JOUR
AU  - Ghader Ghasemi
AU  - Kamal Bahmanpour
AU  - Jafar A'zami
TI  - Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
JO  - Colloquium Mathematicum
PY  - 2014
SP  - 263
EP  - 270
VL  - 137
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-10/
DO  - 10.4064/cm137-2-10
LA  - en
ID  - 10_4064_cm137_2_10
ER  - 
%0 Journal Article
%A Ghader Ghasemi
%A Kamal Bahmanpour
%A Jafar A'zami
%T Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
%J Colloquium Mathematicum
%D 2014
%P 263-270
%V 137
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-10/
%R 10.4064/cm137-2-10
%G en
%F 10_4064_cm137_2_10
Ghader Ghasemi; Kamal Bahmanpour; Jafar A'zami. Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring. Colloquium Mathematicum, Tome 137 (2014) no. 2, pp. 263-270. doi : 10.4064/cm137-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm137-2-10/

Cité par Sources :