2013 Fiscal Year Final Research Report
Study of artinian rings with Morita duality
| 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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| 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 |
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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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Research Products
(7 results)
