形式幂级数环中迭代群的一个显式实例

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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