Alonso García, María EmiliaCastro Jiménez, Francisco JesúsHauser, HerwigKoutschan, Christoph2020-02-042020-02-042018Alonso García, M.E., Castro Jiménez, F.J., Hauser, H. y Koutschan, C. (2018). Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation. Bulletin of the London Mathematical Society, 50, 649-662.0024-60931469-2120https://hdl.handle.net/11441/92722Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization of the concept of ideals in power series rings.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Power seriesArtin approximationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1112/blms.12162