A Study on Integrals in Right Comodule Subalgebras
| Project/Area Number |
12640053
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Niihama National Coflege of Technology |
|---|
Principal Investigator |
TADASHI Yanai Niihama Nat. Col. Tech., Eng. Sci., Ass. Prof., 数理科, 助教授 (50220174)
|
|---|
| Project Period (FY) |
2000 – 2001
|
| Project Status |
Completed (Fiscal Year 2001)
|
| Budget Amount *help |
¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥200,000 (Direct Cost: ¥200,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
|
|---|
| Keywords | Hopf algebra / integral / comodule algebra / Galois-type correspondence / フロベニウス拡大 |
|---|
| 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.
|
Report
(3 results)
Research Products
(3 results)
