Associated primes and integral closure of Noetherian rings

Published 24 Jul 2019 in math.AC | (1907.10754v3)

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.

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Antoni Rangachev

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