发表机构
Stevens Institute of Technology; Universidade de São Paulo（史蒂文斯理工学院; 圣保罗大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文给出四变量多项式环中Anick自同构的显式 tame 分解，含16个固定z的初等自同构，定义在ℤ[1/2]上，未涉及特征2情形。
AI 中文摘要
令δ=xz−yt，我们给出多项式环F[x,y,z,t]中Anick自同构(x+δt,y+δz,z,t)的显式 tame 分解。经线性坐标变换后，该分解由16个均固定z的初等自同构构成，证明使用了代数中已有变量的换位子构造，完整初等因子列表见第5节。显式多项式分解等式定义在ℤ[1/2]上，未断言特征2下的结论。
英文摘要
Let $δ=xz-yt$. We give an explicit tame factorization of the Anick automorphism $(x+δt,y+δz,z,t)$ of $F[x,y,z,t]$. After a linear change of coordinates, the factorization consists of sixteen elementary automorphisms, all fixing $z$. The proof uses a commutator construction with variables already present in the algebra. A complete list of the elementary factors is included in Section 5. The explicit polynomial factorization identities are defined over $\ZZ[1/2]$; no conclusion in characteristic $2$ is asserted.
