On formal power series defined by infinite linear systems
type: Item
instance of: scholarly article
title: On formal power series defined by infinite linear systems
zbMATH Open document ID: 0547.68053
DOI: 10.1016/0304-3975(84)90051-3
author: Gérard Jacob
author: Christophe Reutenauer
published in: Theoretical Computer Science
publication date: 1984-01-01T00:00:00Z
review text: \textit{W. Kuich} and \textit{F. J. Urbanek} [Theor. Comput. Sci. 22, 95-126 (1983; Zbl 0516.68059)] defined a class of noncommutative formal power series by considering a certain type of infinite linear systems; in the present note, we give a simple construction which shows that each formal power series is in this class. So the closure properties of the above paper are trivially verified.
Mathematics Subject Classification ID: 68Q70
Mathematics Subject Classification ID: 16W60
zbMATH DE Number: 3872688
zbMATH Keywords: noncommutative power series
zbMATH Keywords: infinite linear systems
zbMATH Keywords: formal power series
MaRDI profile type: Publication
full work available at URL: 0304-3975(84)90051-3
OpenAlex ID: W1975417421
cites work: Q4079524
cites work: Infinite linear systems and one counter languages
cites work: Q4155837
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description: scientific article; zbMATH DE number 3872688