2013/05/30 by Davood Asadollahi, Asadollahi, Davood, Reza Naghipour +1
Mathematics · #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AC
paper · pdf · doi:10.48550/arxiv.1305.7004
5 pages
arxiv created 2013/05/30 · openalex publication_date 2013/05/30 · arxiv updated 2013/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (R,m) be a complete local ring, a an ideal of R and M a finitely generated R-module. The aim of this paper is to show that for any non-negative integer n, the least integer i such that the i-th local cohomology with respect to a is not in dimension <n, is equal to the n-th finiteness dimension of M relative to a. This generalizes the main result of Quy and Brodmann-Lashgari.