A Splitting Theorem for Local Cohomology and its Applications

2010/09/18 by Cuong, Nguyen Tu, Quy, Pham Hung
#13D45 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.3531

Abstract

Let R be a commutative Noetherian ring and M a finitely generated R-module. We show in this paper that, for an integer t, if the local cohomology module Hⁱ_\mathfraka(M) with respect to an ideal \frak a is finitely generated for all i

Related

• Some results on local cohomology modules
• Associated primes of formal local cohomology modules
• On the associated primes of generalized local cohomology modules
• Cofiniteness of generalized local cohomology modules
• Some properties of generalized local cohomology modules