| Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
|---|
| Outline of Final Research Achievements |
Some results are obtained regarding polynomial fibre rings which are important both in commutative algebra and affine algebraic geometry. In particular, sufficient conditions are given for an algebra to be Noetherian over a two dimensional complete regular local ring, and examples are constructed to show the necessity of the conditions. Moreover, isomorphism classes are studied for algebras generated by idempotents over a commutative ring. The uniqueness of the isomorphism class is proved for the case where the number of primitive idempotents is finite, and a theorem is given for the case where the number of primitive idempotents is countably infinite.
|
