自由泊松代数的Anick型野生自同构

IF 0.6 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2025-10-06 DOI:10.1007/s10469-025-09799-w

I. P. Shestakov, Z. Zhang

引用次数: 0

摘要

构造了一个3生成自由泊松代数中的Anick型野生自同构，并由此导出了一个3生成多项式代数中的驯服自同构。我们还证明了这种自同构是稳定驯服的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

An Anick Type Wild Automorphism of Free Poisson Algebras

We construct an Anick type wild automorphism in a 3-generated free Poisson algebra which induces a tame automorphism in a 3-generated polynomial algebra. We also show that this automorphism is stably tame.

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来源期刊

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.