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arXiv · 1907.10754

Associated primes and integral closure of Noetherian rings

Antoni Rangachev
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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. 2021-10-26. Associated primes and integral closure of Noetherian rings. https://doi.org/10.1016/j.jpaa.2020.106588

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