论文标题

正式的laurent系列中的逆和组成

The inverse and the composition in the set of formal Laurent series

论文作者

Bugajewski, Dawid

论文摘要

本文的目的是调查正式洛朗系列中的乘法逆和组成的问题。我们表明缺乏对正式洛朗系列媒介的一般独特性;还提供了满足某些弱假设的正式劳伦斯系列的倒置的必要条件。此外,我们定义了正式的月桂系列的一般组成,并在这种情况下调查了正确的分配法律和链条规则。

The aim of this article is to investigate the issues of multiplicative inverses and composition in the set of formal Laurent series. We show the lack of general uniqueness of inverses of formal Laurent series; necessary and sufficient conditions for the existence of inverses of formal Laurent series satisfying some weak assumptions are also provided. Moreover, we define a general composition of formal Laurent series and investigate the Right Distributive Law and the Chain Rule in this context.

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