Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587281 | Journal of Algebra | 2009 | 9 Pages |
Abstract
Let (R,m) be a Noetherian local ring and M a finitely generated R-module. Let i⩾0 be an integer. Consider the following property for the Artinian local cohomology module Hmi(M)(â)AnnR(0:Hmi(M)p)=pfor all pâVar(AnnR(Hmi(M))). In this paper, we study the property (â) of Hmi(M) in order to investigate the universal catenaricity of the ring R/AnnRM and the unmixedness of the ring R/p for certain p in SuppM. We also characterize the property (â) for Hmi(M) and obtain the associativity formulae for multiplicity of Hmi(M) in case where Hmi(M) satisfies the property (â).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Le Thanh Nhan, Tran Nguyen An,