R[x，y]的坐标：构造和分类
Coordinates of R[x,y]: Constructions and classifications
摘要：
R是PID。本文构造并分类了R[x，y]中p_2y+Q_2（p_1x+Q_1（y））形式的所有坐标，其中p_1和p_2在qt（R）中，Q_1和Q_2在qt（R）[y]中。由这个构造（R=K[z]），我们得到了K[x，y，z]（其中K是特征为0的域）的非驯服自同构s，使得s和仿射自同构生成的子群包含所有驯服自同构。
英文摘要：
Let R be a PID. We construct and classify all coordinates of R[x,y] of the form p_2y+Q_2(p_1x+Q_1(y)) with p_1 and p_2 in qt(R) and Q_1 and Q_2 in qt(R)[y]. From this construction (with R=K[z]) we obtain non tame automorphisms s of K[x,y,z] (where K is a field of characteristic 0) such that the sub-group generated by s and the affine automorphisms contains all tame automorphisms.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
