| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Research Abstract |
Although the theory of multiplicity of local rings is very important as a classical theory in commutative algebra, but it can be applied to only ideals containing some power of the maximal ideal. Hence a generalized invariant named "j-multiplicity" was introduced. However, it was really difficult to compute its value. In this research, we established a practical method for computing the j-multiplicity of a given ideal.
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