2014 Fiscal Year Final Research Report
A study of multiplicities associated to a graded ring extension
| Project/Area Number |
24740032
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Multi-year Fund |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Hokkaido University of Education (2013-2014)
Kagoshima National College of Technology (2012) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2012-04-01 – 2015-03-31
|
| Keywords | 局所環 / 加群 / ブックスバウム・リム重複度 / ブックスバウム・リム関数 / 多重次数付き環 |
|---|
| Outline of Final Research Achievements |
We developed the general theory of a generalized Buchsbaum-Rim function of two variables and associated Buchsbaum-Rim multiplicities of a matrix over a local ring. We computed the generalized Buchsbaum-Rim function of two variables and its multiplicities in a special case, where the matrix is a parameter matrix of a special form over one-dimensional Cohen-Macaulay local ring. In the special case, we determined when the function coincides with the Buchsbaum-Rim polynomial of two variables. We also obtained the formula for associated Buchsbaum-Rim multiplicities in the special case.
|
| Free Research Field |
可換環論
|
