Some Results on Graded Generalized Local Cohomology Modules

Authors

  • Fatemeh Dehghani-Zadeh
  • Hossein Zakeri

DOI:

https://doi.org/10.30495/jme.v0i0.404

Abstract

Let R = n>0Rn be a graded Noetherian ring with local
base ring R0 and let R+ = n>1Rn. Let M and N be finitely generated
graded R-modules. In this paper we extend some of the known results
about ordinary local cohomology modules HiR
+(M) to generalized local
cohomology modules HiR
+(M,N). Indeed, among other things, we
prove that certain submodules and factor modules of HiR
+(M,N) are
Artinian for some i. Also we obtain some results on the asymptotic
behaviour of the n-th graded components HiR
+(M,N)n of HiR
+(M,N)
for n −! −1.

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Published

2015-07-30

Issue

Vol 5 (2010-2011)

Section

Vol. 5, No. 1, (2010)

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