A study of multiplicities associated to a graded ring extension
| Project/Area Number |
24740032
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Hokkaido University of Education (2013-2014)
Kagoshima National College of Technology (2012) |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| 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 / コーエン・マコーレー局所環 / 巡回加群 / 巴系加群 / 重複度 |
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| 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.
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Report
(4 results)
Research Products
(11 results)
