Associated primes and integral closure of Noetherian rings

被引：1

作者：

Rangachev, Antoni ^{[1
,2
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Bulgarian Acad Sci, Inst Math & Informat, Sofia 1113, Bulgaria

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 05期

关键词：

Integral closure of rings; Associated primes; Rees algebras; DIVISORS; CODIMENSION;

D O I：

10.1016/j.jpaa.2020.106588

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a Noetherian ring and B be a finitely generated (A) over bar -algebra. Denote by A the integral closure of A in B. We give necessary and sufficient conditions for prime ideals to be in Ass(A)(B/(A) over bar) and Ass (A) over bar (B/(A) over bar) generalizing and strengthening classical results for rings of special type. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：11

共 50 条

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