| Abstract |
Recently, Epstein and Shapiro introduced and studied the perinormal domains: those domains A whose overrings satisfying going down over A are flat A-modules. These domains fall strictly between the Krull domains and the seminormal domains. In this talk, I will discuss the concept of P-domain introduced by Mott and Zafrullah. I will show that every P-domain is perinormal and has no proper lying over overring (an overring B of a ring A such that A is contained in B satisfies lying over property). At the end, I will give basic properties of this class and discuss some illuminating examples.
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