Associated primes and integral closure of Noetherian rings
arXiv:1907.10754 · doi:10.1016/j.jpaa.2020.106588
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.
The exposition of the proof of Proposition 2.1 was significantly improved