Some Results on Graded Generalized Local Cohomology Modules
. 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 Hi R+ (M) to generalized local cohomology modules Hi R+...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2010-03-01
|
| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/404/217 |
| Summary: | . 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 Hi
R+
(M) to generalized local
cohomology modules Hi
R+
(M, N). Indeed, among other things, we
prove that certain submodules and factor modules of Hi
R+
(M, N) are
Artinian for some i. Also we obtain some results on the asymptotic
behaviour of the n-th graded components Hi
R+
(M, N)n of Hi
R+
(M, N)
for n −→ −∞ |
|---|---|
| ISSN: | 1735-8299 1735-8299 |