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math.AC2020
A valuation theorem for Noetherian rings
Antoni Rangachev
Let A and B be integral domains. Suppose A is Noetherian and B is a finitely generated A-algebra that contains A. Denote by A' the integral closure of A in B. We show that A' is de…
math.AC2019★ 1 cited
Associated primes and integral closure of Noetherian rings
Antoni Rangachev
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…