Computing j-multiplicity ant its application
| Project/Area Number |
19540009
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Chiba University |
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Principal Investigator |
NISHIDA Koji Chiba University, 大学院・理学研究科, 教授 (60228187)
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| Co-Investigator(Kenkyū-buntansha) |
KURANO Kazuhiko 明治大学, 理工学研究科, 教授 (90205188)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 可換環 / 次数付き環 / イデアル / 重複度 |
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| Research Abstract |
Although the theory of multiplicity of local rings is very important as a classical theory in commutative algebra, but it can be applied to only ideals containing some power of the maximal ideal. Hence a generalized invariant named "j-multiplicity" was introduced. However, it was really difficult to compute its value. In this research, we established a practical method for computing the j-multiplicity of a given ideal.
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Report
(6 results)
Research Products
(30 results)
