2017-07-112017-07-112017Alonso García, M.E., Castro Jiménez, F.J. y Hauser, H. (2017). Encoding algebraic power series. Foundations of Computational Mathematics, 1-45.1615-33751615-3383http://hdl.handle.net/11441/62329The division algorithm for ideals of algebraic power series satisfying Hironaka’s box condition is shown to be finite when expressed suitably in terms of the defining polynomial codes of the series. In particular, the codes of the reduced standard basis of the ideal can be constructed effectively.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Algebraic power seriesHenselizationPower series divisionGröbner and standard basesPolynomial codesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1007/s10208-017-9354-z