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.
@article{bwmeta1.element.bwnjournal-article-doi-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 Mathematicae}, volume = {135}, year = {2014}, pages = {263-270}, zbl = {1314.13034}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-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 Mathematicae, Tome 135 (2014) pp. 263-270. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm137-2-10/