| Project/Area Number |
19540054
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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 | Meiji University |
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Principal Investigator |
GOTO Shiro Meiji University, 理工学部, 教授 (50060091)
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| Co-Investigator(Kenkyū-buntansha) |
SAKURAI Hideto 明治大学, 研究・知財戦略機構, ポスト・ドクター (00409450)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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|---|
| Keywords | 可換環 / Ress代数 / 随伴次数環 / Hilbert函数 / 重複度 / Blow-up代数 / Cohen-Macaula環 / Buchsbaum環 / 可換環論 / 特異点論 / Rees代数 / Cohen-Macaulay環 / Gorenstein環 |
|---|
| Research Abstract |
Commutative Algebra is one of the branches of algebra, which works on the sets equipped with two binary operations, such that addition and multiplication, such as the sets of numbers and the sets of functions. The purpose is to explore the structure of these sets with view-point from two binary operations. This is a very abstract approach but it contains good applications, like cryptography, to real societies. I have posed three concrete problems and have been trying to solve them. I obtain rather excellent and big results, which I have reported in several conferences of abroad.
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Report
(4 results)
Research Products
(58 results)
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[Presentation] Sally modules of rank one2007
Author(s)
後藤 四郎
Organizer
Castelnuovo-Mumfbrd regularity and applications, jointly organized by the Graduate School"Analysis, Geometry, and its Relations to the Sciences"of the Mathematical Institute of Leipzig University and the Max Planck Institute for Mathematics in the Science
Place of Presentation
Leipzig(Germany)
Year and Date
2007-07-16
Related Report
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