| Budget Amount *help |
¥9,880,000 (Direct Cost: ¥7,600,000、Indirect Cost: ¥2,280,000)
Fiscal Year 2018: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2017: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2016: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2014: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
New mathematics called homological algebra has been established in the middle of the 20th century and in the process of this establishment, many problems and conjectures have arisen, which remain unsolved yet. Now in this new century, these problems are regarded as in the framework of the categories. The most interesting objective is to study finitely generated modules over commutative rings that are given by finitely many elements with finitely many relations. However, in this study, we consider the problems once in larger categories called unbounded derived categories that naturally involve infinitely generated modules. Eventually through these methods, we succeeded in deriving several results for finitely generated modules.
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