Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring
Volume 137 / 2014
Colloquium Mathematicum 137 (2014), 263-270
MSC: Primary 13D45; Secondary 14B15, 13E05.
DOI: 10.4064/cm137-2-10
Abstract
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.
