2015 Fiscal Year Final Research Report
Study of affine fibrations
| Project/Area Number |
24540037
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | University of Fukui |
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Principal Investigator |
Onoda Nobuharu 福井大学, 工学(系)研究科(研究院), 教授 (40169347)
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| Research Collaborator |
Bhatwadekar S. M. Bhaskaracharya Pratishthana, 教授
Dutta A. K. Indian Statistical Institute, 教授
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | 代数学 / 可換環論 / アフィン代数幾何学 |
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| Outline of Final Research Achievements |
Some results are obtained regarding affine fibration which is an important subject both in commutative algebra and affine algebraic geometry. In particular, fibre conditions are given for algebras A to be finitely generated over a two dimensional regular local ring R, and examples are constructed to show the necessity of the conditions. Moreover conditions are given for the equivalence between the class of algebras generated by idempotents and the class of algebras which are quotients of group algebras of commutative groups.
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| Free Research Field |
可換代数学
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