On composition and Right Distributive Law for formal power series of multiple variables
Commutative Algebra
2026-01-09 v2
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.
Keywords
Cite
@article{arxiv.2211.06879,
title = {On composition and Right Distributive Law for formal power series of multiple variables},
author = {Dariusz Bugajewski and Alessia Galimberti and Piotr Maćkowiak},
journal= {arXiv preprint arXiv:2211.06879},
year = {2026}
}
Comments
An error in data of reference [4] was corrected