| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
We studied Stanly-Reisner ideals, which are squarefree monomial ideals in polynomial rings. As a result we have proved that any powers areCohen-Macaulay if a certain m-th power of a Stanley-Reisner ideal is Cohen-Macaulay, where m is more than two. In this case the original ideal is a complete intersection. This is a refinement of the Cowsik-Nori theorem in the case of monomial ideals.
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