The growth of valuations on rational function fields in two variables

DOI10.1090/S0002-9939-04-07456-8zbMath1098.13005OpenAlexW1514451934MaRDI QIDQ4811863

Edward Mosteig, Moss Eisenberg Sweedler

Publication date: 6 September 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07456-8

zbMATH Keywords

Gröbner basesgeneralized power seriesPuiseux seriesLaurent seriescoding theoryvalue monoidnoetherian power seriesramification index of a seriesramification sequence

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Valuations and their generalizations for commutative rings (13A18) Integral domains (13G05) Valuation rings (13F30) Formal power series rings (13F25)

Related Items (3)

On the algebraicity of generalized power series ⋮ Reversely well-ordered valuations on rational function fields in two variables ⋮ Value monoids of zero-dimensional valuations of rank 1

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