Cohomological dimension and top local cohomology modules
Küçük Resim Yok
Tarih
2019
Yazarlar
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.