Khalid, Asma; Popescu, Adrian; Popescu, Dorin Algorithms in the classical Néron desingularization. (English) Zbl 1399.13009 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 61(109), No. 1, 83-94 (2018). Summary: We give algorithms to construct the Néron Desingularization and the easy case from A. Khalid and Z. Kosar [Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 59(107), No. 4, 349–353 (2016; Zbl 1389.13026)] of the General Néron Desingularization. Cited in 2 Documents MSC: 13B40 Étale and flat extensions; Henselization; Artin approximation 14B25 Local structure of morphisms in algebraic geometry: étale, flat, etc. 13H05 Regular local rings 13J15 Henselian rings Keywords:regular rings; smooth morphisms; regular morphisms; unramified extension of discrete valuation rings; algorithms Citations:Zbl 1389.13026 PDFBibTeX XMLCite \textit{A. Khalid} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 61(109), No. 1, 83--94 (2018; Zbl 1399.13009) Full Text: arXiv