形式幂级数环中迭代群的一个显式实例

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-05-06 DOI:10.1007/s00010-024-01070-4

Wojciech Jabłoński

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引用次数: 0

摘要

我们举例说明了在特征为 0 的域上的形式幂级数环中的某个迭代群。通过这个例子，我们可以在一个附加条件下得到某些（截断的）形式幂级数的单参数群的明确公式。因此，我们能够证明在截断形式幂级数环中的第三个 Aczél-Jabotinsky 微分方程解的一些非交换群。

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An explicit example of an iteration group in the ring of formal power series

We give an example of some iteration group in a ring of formal power series over a field of characteristic 0. It allows us to obtain an explicit formula for some one-parameter group of (truncated) formal power series under an additional condition. Consequently, we are able to show some non-commutative groups of solutions of the third Aczél-Jabotinsky differential equation in the ring of truncated formal power series.

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来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.