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在一维局部整环框架下计算 General Neron Desingularization 的方法

交换代数 2015-09-22 v2

作者: Adrian Popescu , Dorin Popescu

在 arXiv 上查看 ↗ PDF ↗

摘要

本文给出一维局部整环的 General Neron Desingularization 的算法证明，并在 \textsc{Singular} 中予以实现。此外，还针对一维 Cohen-Macaulay 局部环提出了一个回顾 Greenberg 强逼近定理的定理。

关键词

General Neron Desingularization 一维局部整环算法证明 Cohen-Macaulay 局部环 Greenberg 强逼近

引用

@article{arxiv.1508.05511,
  title  = {A method to compute the General Neron Desingularization in the frame of one dimensional local domains},
  author = {Adrian Popescu and Dorin Popescu},
  journal= {arXiv preprint arXiv:1508.05511},
  year   = {2015}
}

备注

In this version some examples were added and many misprints were corrected especially from the last section