论文标题
Gorenstein内态曲线上的曲线奇异性
Gorenstein Endomorphism Rings on Curve Singularities
论文作者
论文摘要
我们表征了由理想的稳定性和其价值半群的理想的条件,表征了曲线奇异性上分数理想的内态圆环的gorensteinness。此外,只有Gorenstein代数曲线只有Gorenstein积分扩展。
We characterize the Gorensteinness of endomorphism rings of a fractional ideal on a curve singularity by stability of the ideal and a condition on its value semigroup ideal. Moreover, the Gorenstein algebroid curves with only Gorenstein integral extensions are classified.