Displaying similar documents to “Upper bounds for the cohomological dimensions of finitely generated modules over a commutative Noetherian ring”

Adic-completion and some dual homological results.

Anne-Marie Simon (1992)

Publicacions Matemàtiques

Similarity:

Let a be an ideal of a commutative ring A. There is a kind of duality between the left derived functors Ui a of the a-adic completion functor, called local homology functors, and the local cohomology functors Ha i. Some dual results are obtained for these Ui a, and also inequalities involving both local homology...

Cohen-Macaulayness of multiplication rings and modules

R. Naghipour, H. Zakeri, N. Zamani (2003)

Colloquium Mathematicae

Similarity:

Let R be a commutative multiplication ring and let N be a non-zero finitely generated multiplication R-module. We characterize certain prime submodules of N. Also, we show that N is Cohen-Macaulay whenever R is Noetherian.

Multiplication modules and related results

Shahabaddin Ebrahimi Atani (2004)

Archivum Mathematicum

Similarity:

Let R be a commutative ring with non-zero identity. Various properties of multiplication modules are considered. We generalize Ohm’s properties for submodules of a finitely generated faithful multiplication R -module (see [8], [12] and [3]).