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映射芽关于群H的有限决定性
引用本文:邹建成.映射芽关于群H的有限决定性[J].贵州工业大学学报(自然科学版),1992(2).
作者姓名:邹建成
作者单位:贵州工学院基础部应用数学研究所
摘    要:本文定义了一种群H,讨论了映射芽对于群H有限决定的一些充分、必要条件。特别是对齐次多项式映射芽,给出了比T.Broker更强的结果,本文用简单的方法证明了以上条件对齐次多项式函数芽也是充分的。

关 键 词:映射芽  有限决定  齐次多项式芽

FINITE DETERMINATION OF MAP-GERM WITH RESPECT TO GROUP H
Zou Jiancheng.FINITE DETERMINATION OF MAP-GERM WITH RESPECT TO GROUP H[J].Journal of Guizhou University of Technology(Natural Science Edition),1992(2).
Authors:Zou Jiancheng
Abstract:A kind of group H is defined and some ample and necessary conditions for finite determination of map-germ with respect to group H are discussed. A result stronger than that of T. Broker is given especially to the reflection of homogeneous polynomial germ. A simple method is used to prove that the above conditions are enough for the homogeneous polynomial germ.
Keywords:map-germ  finite determination  homogeneous polynomial germ
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