Algebraic elements in formal power series rings
type: Item
instance of: scholarly article
title: Algebraic elements in formal power series rings
zbMATH Open document ID: 0675.13015
DOI: 10.1007/BF02778035
author: Takashi Harase
published in: Israel Journal of Mathematics
publication date: 1988-01-01T00:00:00Z
review text: Let k be a perfect field of characteristic p. A set A of additive endomorphisms of k((x)) is defined such that an element f of k((x)) is algebraic over k(x) if and only if f is contained in an A-stable finite- dimensional k-vectorsubspace of k((x)). Other known characterizations of algebraicity are derived from this.
Mathematics Subject Classification ID: 13F25
zbMATH DE Number: 4105104
zbMATH Keywords: algebraicity of formal power series
reviewed by: J. H. de Boer
MaRDI profile type: Publication
cites work: Suites algébriques, automates et substitutions
cites work: Intégration sur un cycle évanescent
cites work: Sur divers produits de séries formelles
cites work: Algebraic functions over finite fields
cites work: Q4063563
cites work: Automata and the arithmetic of formal power series
full work available at URL: https://doi.org/10.1007/bf02778035
OpenAlex ID: W4236378157
description: scientific article; zbMATH DE number 4105104