2011 Fiscal Year Final Research Report
A basic theory of the multiplicity of parameter modules over a local ring
| Project/Area Number |
22740027
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Kagoshima National College of Technology |
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Principal Investigator |
HAYASAKA Futoshi 鹿児島工業高等専門学校, 一般教育科理系, 講師 (20409460)
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| Project Period (FY) |
2010 – 2011
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| Keywords | 局所環 / 巴系加群 / 重複度 / 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 |
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| Research Abstract |
We studied a basic theory of the multiplicity of parameter modules over a local ring, and clarified where the parts of the technical difficulty of the study, compared with the case of ideals, are. We also investigated the asymptotic property of the grade and the set of primes associated to homogeneous components of a nonstandard multigraded ring extension, and proved that the asymptotic periodicity occurs in a cone.
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