On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory
This paper is concerned with the relation between local cohomology modules defined by a pair of ideals and Serre classes of R-modules. Let R be a commutative Noetherian ring, I , J be two ideals of R and M be an R-module. Let a ∈ W˜ (I, J) and t ∈ N0 be such that Extt R(R/a, M) ∈ S and Extj R(...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2013-12-01
|
| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/223/136 |
| id |
doaj-8e5022077f4d40c19d66d7f02d9147ac |
|---|---|
| record_format |
Article |
| spelling |
doaj-8e5022077f4d40c19d66d7f02d9147ac2020-11-25T04:00:51ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992013-12-01744762On the Local Cohomology Modules Defined by a Pair of Ideals and Serre SubcategoryKh. Ahmadi-Amoli∗0M. Y. Sadeghi1Payame Noor UniversityPayame Noor UniversityThis paper is concerned with the relation between local cohomology modules defined by a pair of ideals and Serre classes of R-modules. Let R be a commutative Noetherian ring, I , J be two ideals of R and M be an R-module. Let a ∈ W˜ (I, J) and t ∈ N0 be such that Extt R(R/a, M) ∈ S and Extj R(R/a, Hi I,J (M)) ∈ S for all i < t and all j > 0. Then for any submodule N of Ht I,J (M) such that Ext1 R(R/a, N) ∈ S, we obtain HomR(R/a, Ht I,J (M)/N) ∈ Shttp://ijmex.com/index.php/ijmex/article/view/223/136 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Kh. Ahmadi-Amoli∗ M. Y. Sadeghi |
| spellingShingle |
Kh. Ahmadi-Amoli∗ M. Y. Sadeghi On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory Journal of Mathematical Extension |
| author_facet |
Kh. Ahmadi-Amoli∗ M. Y. Sadeghi |
| author_sort |
Kh. Ahmadi-Amoli∗ |
| title |
On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory |
| title_short |
On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory |
| title_full |
On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory |
| title_fullStr |
On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory |
| title_full_unstemmed |
On the Local Cohomology Modules Defined by a Pair of Ideals and Serre Subcategory |
| title_sort |
on the local cohomology modules defined by a pair of ideals and serre subcategory |
| publisher |
Islamic Azad University |
| series |
Journal of Mathematical Extension |
| issn |
1735-8299 1735-8299 |
| publishDate |
2013-12-01 |
| description |
This paper is concerned with the relation between local
cohomology modules defined by a pair of ideals and Serre classes of
R-modules. Let R be a commutative Noetherian ring, I , J be two
ideals of R and M be an R-module. Let a ∈ W˜ (I, J) and t ∈ N0
be such that Extt
R(R/a, M) ∈ S and Extj
R(R/a, Hi
I,J (M)) ∈ S for all
i < t and all j > 0. Then for any submodule N of Ht
I,J (M) such that
Ext1
R(R/a, N) ∈ S, we obtain HomR(R/a, Ht
I,J (M)/N) ∈ S |
| url |
http://ijmex.com/index.php/ijmex/article/view/223/136 |
| work_keys_str_mv |
AT khahmadiamoli onthelocalcohomologymodulesdefinedbyapairofidealsandserresubcategory AT mysadeghi onthelocalcohomologymodulesdefinedbyapairofidealsandserresubcategory |
| _version_ |
1724448843533123584 |