Cohomological dimension and top local cohomology modules

Küçük Resim Yok

Tarih

2019

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Rocky Mt Math Consortium

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

Let R be a Noetherian ring, I an ideal of R and M an R-module. In this paper, we first determine a condition under which a given integer t is a lower bound for the cohomological dimension cd(I, M), and use this to conclude that non-catenary Noetherian domains contain prime ideals that are not set-theoretic complete intersection. We also show the existence of a descending chain of ideals with successive diminishing cohomological dimensions. We then resolve the Artinianness of top local cohomology modules over local unique factorization domains of Krull dimension at most three, and obtain several related results on the top local cohomology modules for much more general cases.

Açıklama

WOS: 000493933600006

Anahtar Kelimeler

Top Local Cohomology Modules, Cohomological Dimensions, Radically Perfect Ideals

Kaynak

Rocky Mountain Journal of Mathematics

WoS Q Değeri

Q4

Scopus Q Değeri

Q2

Cilt

49

Sayı

6

Künye

Erdoğdu, V., & Yıldırım, T. (2019). Cohomological dimension and top local cohomology modules. Rocky Mountain Journal of Mathematics, 49(6), 1843-1855.