On composition and Right Distributive Law for formal power series of multiple variables

2022/11/13 by Dariusz Bugajewski, Bugajewski, Dariusz, Alessia Galimberti +3 · 1 citation
Computer Science · #13F25 #13J05 #Commutative Algebra (math.AC) #Data Management and Algorithms #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2211.06879

openalex publication_date 2022/11/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the first part of the paper we prove a necessary and sufficient condition for the existence of the composition of formal power series in the case when the outer series is a series of one variable while the inner one is a series of multiple variables. The aim of the second part is to remove ambiguities connected with the Right Distributive Law for formal power series of one variable as well as to provide analogues of that law in the multivariable case.

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