中文摘要：

本文研究了奇点理论中有限余维理想的一种判定方法，利用Arnold在θn中得出的结论以及Hilbert零点定理，获得C^∞实函数芽环En中由齐次多项式芽生成的有限余维理想的特征和判定方法．其结果是有实用性和有效性的．

英文摘要：

In this paper, the authors discuss the determined method about a finite eodimensional ideal in singularity theory. By means of Arnold＇s results in the ring of germs of complex analytie functions θn and Hilbert＇s nullstellesatz theorem, the authors obtain the characteristics and the determined methods of a finite eodimesional ideal in the ring of germs of C^∞ real functions E., generated by homogeneous polynomial germs. The results in this paper have practicability and validity.