| Project/Area Number |
23540064
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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 | Okinawa National College of Technology |
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Principal Investigator |
KOIKE Kazutoshi 沖縄工業高等専門学校, 総合科学科, 教授 (20225337)
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| Co-Investigator(Kenkyū-buntansha) |
OSHIRO Kiyoichi 山口大学, 名誉教授, 大城紀代市 (90034727)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 森田双対性 / 自己双対性 / 東屋の予想 / 拡大環 / 有限三角拡大 / 環論 / 森田双対 / 国際情報交流 / 多国籍 |
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| Research Abstract |
Azumaya's conjecture "every exact ring has a self-duality" is an important problem in the study of Morita duality of rings. For finite triangular extensions , which are closely related to exact rings, it is well-known that these ring extensions inherit Morita duality from base rings. In the study, we show that finite triangular extensions are Morita dual to finite triangular extensions. We also prove self-duality of certain finite triangular extensions of division rings. These results provide supporting evidence for Azumaya's conjecture.
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