Associated primes and integral closure of Noetherian rings
Commutative Algebra
2021-10-27 v3
Abstract
Let A be a Noetherian ring and B be a finitely generated A-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') and Ass_{A'}(B/A') generalizing and strengthening classical results for rings of special type.
Cite
@article{arxiv.1907.10754,
title = {Associated primes and integral closure of Noetherian rings},
author = {Antoni Rangachev},
journal= {arXiv preprint arXiv:1907.10754},
year = {2021}
}
Comments
The exposition of the proof of Proposition 2.1 was significantly improved