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 
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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

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