| Project/Area Number |
23540051
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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 | Yamaguchi University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
BABA Yositomo 大阪教育大学, 教育学部, 教授 (10201724)
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(Renkei-kenkyūsha) |
KIKUMASA Isao 山口大学, 理工学研究科, 教授 (70234200)
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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 |
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
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: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 環論 / Faith 予想 / ４元数環 / 準フロベニウ環 / QF-環 / Hamilton４元数環 / Frobenius 拡大 / Ｆａｉｔｈ 予想 / skew-field |
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| Research Abstract |
In 1965, Osofsky showed "right injective perfect rings are QF-rings" and raised : Are right injective right perfect rings QF ?. In 1976, Faith conjectured this is not true even for semiprimary rings. Since then, almost half centuly passed. In 2011, Oshiro showed this problem is true for many cases.
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