A FINITENESS RESULT FOR ATTACHED PRIMES OF ARTINIAN LOCAL COHOMOLOGY MODULES
2013 ◽
Vol 13
(01)
◽
pp. 1350063
◽
Keyword(s):
Let (R, 𝔪) be a Noetherian local ring. For an integer s ≥ -1 and an Artinian R-module A, we introduce the notion of A-cosequence in dimension > s and show that the set of all attached primes [Formula: see text] satisfying dim (R/𝔭) ≥ s is a finite set whenever (x1, …, xk) is an A-cosequence in dimension > s. As an application, we give a finiteness result for attached primes of certain Artinian local cohomology modules of a finitely generated R-module.
2019 ◽
Vol 18
(12)
◽
pp. 1950238
2016 ◽
Vol 15
(04)
◽
pp. 1650070
◽
2015 ◽
Vol 22
(spec01)
◽
pp. 935-946
◽
2009 ◽
Vol 79
(1)
◽
pp. 59-67
◽
2016 ◽
Vol 59
(2)
◽
pp. 403-416
◽
1991 ◽
Vol 110
(3)
◽
pp. 421-429
◽
2009 ◽
Vol 80
(2)
◽
pp. 244-250
◽