Constructive General Neron Desingularization for one dimensional local rings. (May 2017)

• Record Type: Journal Article
• Authors: Pfister, Gerhard; Popescu, Dorin
• Is Part Of: Journal of symbolic computation. Volume 80:Part 3(2017)
• Page Start: 570
• Page End: 580
• Publication Date: 2017-05
• Subjects: primary 13B40 -- secondary 14B25 13H05 13J15; Smooth morphisms -- Regular morphisms -- Smoothing ring morphisms; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Data processing -- Periodicals; Automatic programming (Computer science) -- Periodicals; Mathématiques -- Informatique -- Périodiques; Analyse numérique -- Informatique -- Périodiques; Programmation automatique -- Périodiques; Automatic programming (Computer science); Mathematics -- Data processing; Numerical analysis -- Data processing; Periodicals; Electronic journals; 510.285
• DOI: 10.1016/j.jsc.2016.07.026
• Languages: English
• ISSNs: 0747-7171

Abstract

Abstract: An algorithmic proof of General Neron Desingularization is given here for one dimensional local rings and it is implemented in Singular . Also a theorem recalling Greenberg' strong approximation theorem is presented for one dimensional local rings.