三元多项式代数上的Z_2-分次自同构  

Z_2-Graded Automorphisms of Three-Variable Polynomial Algebras

作　　者：孙晓松[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2012年第3期499-500,共2页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11101176;11071097);吉林大学基本科研业务费项目(批准号:201103201)

摘　　要：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.

关 键 词：多项式代数 Z2-分次 tame自同构 

分 类 号：O153.3[理学—数学]