Abstract

ABSTRACT Using an example of Heinzer-Ohm-Pendleton we show that the integral closure of a pseudo-Krull domain (respectively, an SM domain) need not be a Krull domain. This example also shows that there exists a non-Noetherian non-Krull pseudo-Krull domain (and therefore an SM domain). It is shown that for a one-dimensional domain R, R is a PKD if and only if R is a t-closed SM domain. Finally, we characterize pseudo-Krull group rings.

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