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Encoding Algebraic Power Series

Authors :
Alonso, M. E.
Castro-Jiménez, F. J.
Hauser, H.
Source :
Foundations of Computational Mathematics. June, 2018, Vol. 18 Issue 3, p789, 45 p.
Publication Year :
2018

Abstract

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.<br />Author(s): M. E. Alonso [sup.1] , F. J. Castro-Jiménez [sup.2] , H. Hauser [sup.3] [sup.4] Author Affiliations: (Aff1) 0000 0001 2157 7667, grid.4795.f, Departamento de Álgebra, Universidad Complutense de Madrid, [...]

Details

Language :
English
ISSN :
16153375
Volume :
18
Issue :
3
Database :
Gale General OneFile
Journal :
Foundations of Computational Mathematics
Publication Type :
Academic Journal
Accession number :
edsgcl.540830956
Full Text :
https://doi.org/10.1007/s10208-017-9354-z