Perinormal rings with zero divisors
classification
🧮 math.AC
keywords
perinormalringscalledconceptdivisorsdomaindownepstein
read the original 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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