2013 Fiscal Year Final Research Report
Study on the properties on local cohomology modules from view points of wide cohomology theories
| Project/Area Number |
23540048
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Nara University of Education |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HANAKI Ryo 奈良教育大学, 教育学部, 准教授 (70549162)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
ETO Kazufumi 日本工業大学, 工学部, 教授 (30271357)
|
|---|
| Research Collaborator |
中平 豊 奈良教育大学, 大学院
中村 力 奈良教育大学, 大学院
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | 局所コホモロジー / 余有限加群 / 双対性 / 自己準同型環 / 代数学 / 数学教育 / グラフ理論 / モノミアル |
|---|
| Research Abstract |
In the period with the grant, we proved that the category M(R, J)cof of J-cofinite modules is a full sub-category abelian category of the category of all R-modules, provided the ideal J is principal up to radical, where J is an ideal of a noetherian ring R. Further we could give a characterization over regular rings complete with respect to a J-adic topology, after Hartshorne, on the question: when is the complex bounded below J-cofinite?
|
