Perinormal rings with zero divisors

Published 29 Sep 2016 in math.AC | (1609.09216v1)

Abstract: We extend to rings with zero-divisors the concept of perinormal domain introduced by N. Epstein and J. Shapiro. A ring $A$ is called perinormal if every overring of $A$ which satisfies going down over $A$ is $A$-flat. The Pr\"ufer rings and the Marot Krull rings are perinormal.

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