研究K[x,y,z]上Z2-分次自同构的结构,其中K是特征零的域,Z2-分次定义为degZ2(x)=degZ2(y)=ō,degZ2(z)=.证明了K[x,y,z]上一个稳定z的自同构是tame的当且仅当其诱导的Z2-分次自同构是分次tame的,并证明了若一个Z2-分次自同构是tame的,则它是分次tame的.
We studied the structure of Z2-graded automorphisms of K,where K is a field of characteristic zero and the Z2-grading is defined by deg Z2(x)=deg Z2(y)=ō,deg Z2(z)=.We showed that an automorphism of K fixing z is tame if and only if the induced Z2-graded automorphism is graded tame,and we also showed that if a Z2-graded automorphism is tame,then it is graded tame.