Algebraic elements in formal power series rings. (English) Zbl 0675.13015

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.
Reviewer: J.H.de Boer


13F25 Formal power series rings
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