Global perinormality in a generalized D + M construction
Abstract
A domain R is perinormal if every going-down overring is flat and a perinormal domain R is globally perinormal if every flat overring is a localization of R [Epstein-Shapiro 2016]. I show that global perinormality is preserved in a pullback construction which encompasses a classical D+M construction. In doing so, a result is given for the transfer of the property that every flat overring is a localization in the pullback construction considered.
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