Cosupport of artinian modules

2021/11/12 by Yang, Xiaoyan
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.06536

Abstract

Let (R,\mathfrakm) be a commutative local noetherian ring. For an artinian R-module M, we show the equality cosupp_RM=Cosupp_RM using the semi-discrete linearly compactness of R-module Hom_R(R_\mathfrakp,M) where \mathfrakp is a prime ideal of R.

Related

• The local-global principle for the artinianness dimensions
• Coartinianess of local homology modules for ideals of small dimension
• Artinianness of local cohomology modules
• Some results on local cohomology modules
• Cofiniteness and coassociated primes of local cohomology modules