2001 Fiscal Year Final Research Report Summary
A Study on Integrals in Right Comodule Subalgebras
| Project/Area Number |
12640053
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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 | Niihama National Coflege of Technology |
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Principal Investigator |
TADASHI Yanai Niihama Nat. Col. Tech., Eng. Sci., Ass. Prof., 数理科, 助教授 (50220174)
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| Project Period (FY) |
2000 – 2001
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| Keywords | Hopf algebra / integral / comodule algebra / Galois-type correspondence / フロベニウス拡大 |
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| Research Abstract |
Moreover, it follows that Λ is a Frobenius extension over K, and accordingly, we know that the set of integrals of Λ is 1-dimensional over K and any right comodule subalgebra containing Λ is a free module over Λ. l further intend to research whether the proof of the above facts can be obtained without the assumption on the characteristics and X-outerness.
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