On Artinianness of Formal Local Cohomology

Abstract

Let $\fa$ be an ideal of a Noetherian local ring $(R,\fm)$ and $M$ a finitely generated $R$-module. In this paper we introduce some criterions on Artinianness of formal local cohomology, in particular vanishing and finiteness of local cohomology modules. We find out the lower and upper bound for Artinianness of formal local cohomology

arXiv comment11 pages

References in corpus (1)

• Finiteness properties of formal local cohomology modules and Cohen-Macaulayness

Cited by in corpus (2)

• Artinianness and Finiteness of Formal Local Cohomology Modules with Respect to a Pair of Ideals
• A note on the use of Frobenius map and D-modules in local cohomology