English

Constructive General Neron Desingularization for one dimensional local rings

Commutative Algebra 2016-07-12 v2

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.

Keywords

Cite

@article{arxiv.1512.08435,
  title  = {Constructive General Neron Desingularization for one dimensional local rings},
  author = {Gerhard Pfister and Dorin Popescu},
  journal= {arXiv preprint arXiv:1512.08435},
  year   = {2016}
}

Comments

This version will appear in Journal of Symbolic Computation. arXiv admin note: text overlap with arXiv:1508.05511

R2 v1 2026-06-22T12:18:58.381Z