| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 93 === In this paper, we solve two problem of Gorenstein Ideals :In section 2,
we find the generators of the ideal ((x_{1}^{n},x_{2}^{n},...,x_{s}^{n},y_{1}^{n},...,y_{t}^{n}):
x_{1}^{alpha_{1}}x_{2}^{alpha_{2}}cdots x_{s}^{alpha_{s}}
y_{1}^{ eta_{1}}y_{2}^{ eta_{2}}... y_{t}^{ eta_{t}}(x_{1}^{gamma_{1}}
x_{2}^{gamma_{2}}... x_{s}^{gamma_{s}}-y_{1}^{delta_{1}}
y_{2}^{delta_{2}}... y_{t}^{delta_{t}})).
In section 3, we find the number of generators of
((x^{n},y^{n},z^{n}):x+y+z).
In the proof of section 3, we need to show that a matrix on binomial
coefficients is nonsigular. We solve this problem in section 4.
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