切向理想化子与切向自由理想的理论
交换代数
2017-06-22 v4 代数几何
摘要
我们通过自包含地研究此处称为切向理想化子的模，推广了对数导数的理论。在环是阶乘整环的条件下，我们建立了此类模的自反性判据。作为主要结果，推导了其自由性的充要条件，并引入了切向自由理想类，从而（代数地）扩展了约30年前K. Saito提出的自由除子理论。
引用
@article{arxiv.0908.0911,
title = {Theory of tangential idealizers and tangentially free ideals},
author = {Cleto B. Miranda Neto},
journal= {arXiv preprint arXiv:0908.0911},
year = {2017}
}
备注
This submission has been withdrawn as it is subsumed by (and divided into) the following published papers: "Cleto B. Miranda-Neto, Tangential idealizers and differential ideals, Collect. Math. 67, 311-328, 2016", and "Cleto B. Miranda-Neto, Free logarithmic derivation modules over factorial domains, Math. Res. Lett. 24(1), 153-172, 2017"