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Mathematics > Commutative Algebra

arXiv:2211.06879 (math)
[Submitted on 13 Nov 2022 (v1), last revised 18 Nov 2022 (this version, v2)]

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

Authors:Dariusz Bugajewski, Alessia Galimberti, Piotr Maćkowiak
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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.
Comments: An error in data of reference [4] was corrected
Subjects: Commutative Algebra (math.AC)
MSC classes: 13F25, 13J05
Cite as: arXiv:2211.06879 [math.AC]
  (or arXiv:2211.06879v2 [math.AC] for this version)
  https://doi.org/10.48550/arXiv.2211.06879

Submission history

From: Piotr Maćkowiak [view email]
[v1] Sun, 13 Nov 2022 11:19:33 UTC (13 KB)
[v2] Fri, 18 Nov 2022 17:43:52 UTC (13 KB)
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