Algebraic elements in formal power series rings

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1988 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 63, pages 281-288 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Harase, Takashi;

doi: 10.1007/bf02778035

Algebraic elements in formal power series rings

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Abstract

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.

Related Organizations

Institute of Science Tokyo
Japan

Keywords

algebraicity of formal power series, Formal power series rings

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