| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
I did several researches in the representation theory of commutative rings. More precisely, for a given commutative noetherian ring, I investigated the structure of the module category (i.e., the category of finitely generated modules), the (bounded) derived category and the singularity category. As main achievements, I obtained complete classification of the resolving subcategories of the module category of a complete intersection ring. Also, using the dimension and radius of a subcategory of the module category, I explored certain properties of singularities. Furthermore, I studied annihilation of the Ext functor, and related it to generation of the derived and singularity categories, especially to the Rouquier dimension.
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