Encoding Algebraic Power Series
| Autor: | F.J. Castro-Jiménez, Herwig Hauser, Maria Emilia Alonso |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Power series
Polynomial Mathematics::Commutative Algebra Formal power series Applied Mathematics 010102 general mathematics Dimension of an algebraic variety 0102 computer and information sciences 01 natural sciences Algebraic cycle Algebra Computational Mathematics Gröbner basis Computational Theory and Mathematics 010201 computation theory & mathematics Algebraic function 0101 mathematics Divided differences Analysis Mathematics |
| Zdroj: | Foundations of Computational Mathematics. 18:789-833 |
| ISSN: | 1615-3383 1615-3375 |
| DOI: | 10.1007/s10208-017-9354-z |
| Popis: | The 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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