诺特环的伴随素理想与整闭包
交换代数
2021-10-27 v3
摘要
设A为诺特环，B为有限生成A代数。记A'为A在B中的整闭包。我们给出了素理想属于Ass_{A}(B/A')与Ass_{A'}(B/A')的充要条件，推广并加强了针对特殊类型环的经典结果。
引用
@article{arxiv.1907.10754,
title = {Associated primes and integral closure of Noetherian rings},
author = {Antoni Rangachev},
journal= {arXiv preprint arXiv:1907.10754},
year = {2021}
}
备注
The exposition of the proof of Proposition 2.1 was significantly improved