| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Many of the basic problems in polynomial ring are still unsolved, and are studied systematically as difficult problems in Commutative Ring Theory or Algebraic Geometry. In the study of polynomial rings, techniques based on degrees and derivations are effective, but are often not applicable to positive characteristic cases. In this research, we used "higher derivations" effectively in addition to the previous techniques. We studied wide range of problems in polynomial rings including positive or arbitrary characteristic cases, and obtained various new results.
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