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 |
| _version_ | 1831839083823890432 |
|---|---|
| author | F. Dehghani-Zadeh H. Zakeri |
| author_facet | F. Dehghani-Zadeh H. Zakeri |
| author_sort | F. Dehghani-Zadeh |
| collection | DOAJ |
| description | . 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 −→ −∞ |
| first_indexed | 2024-12-23T05:46:29Z |
| format | Article |
| id | doaj.art-caf1b4f04e634f7a94cf34d38e9b9bf4 |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-23T05:46:29Z |
| publishDate | 2010-03-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-caf1b4f04e634f7a94cf34d38e9b9bf42022-12-21T17:58:04ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992010-03-01515973Some Results on Graded Generalized Local Cohomology ModulesF. Dehghani-Zadeh0H. Zakeri1Islamic Azad University, Science and Research-Tehran BranchTarbiat Moallem University. 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 −→ −∞http://ijmex.com/index.php/ijmex/article/view/404/217 |
| spellingShingle | F. Dehghani-Zadeh H. Zakeri Some Results on Graded Generalized Local Cohomology Modules Journal of Mathematical Extension |
| title | Some Results on Graded Generalized Local Cohomology Modules |
| title_full | Some Results on Graded Generalized Local Cohomology Modules |
| title_fullStr | Some Results on Graded Generalized Local Cohomology Modules |
| title_full_unstemmed | Some Results on Graded Generalized Local Cohomology Modules |
| title_short | Some Results on Graded Generalized Local Cohomology Modules |
| title_sort | some results on graded generalized local cohomology modules |
| url | http://ijmex.com/index.php/ijmex/article/view/404/217 |
| work_keys_str_mv | AT fdehghanizadeh someresultsongradedgeneralizedlocalcohomologymodules AT hzakeri someresultsongradedgeneralizedlocalcohomologymodules |