论文标题
广义$ d + m $构造中的全球围产
Global perinormality in a generalized $D + M$ construction
论文作者
论文摘要
如果每个倒闭且围产域$ r $是\ emph {emph {全球围产}，则域$ r $是\ emph {perinormal}，如果每个平坦的过度越过的，则每个平面均为$ r $ $ r $ [Epstein-Shapiro 2016]。我表明，全球围产期保存在一个撤回构造中，其中包括经典的$ d+m $构造。在此过程中，将给出的属性转移，这是每个扁平都在考虑的回调构造中的本地化的。
A domain $R$ is \emph{perinormal} if every going-down overring is flat and a perinormal domain $R$ is \emph{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.
