Abstract
We present a class of Noetherian, local, analytically normal, factorial domains with factorial henselizations but not necessarily factorial completions. These properties are exploited to furnish examples of (1) a henselian, non-approximation ring in characteristic zero, (2) a total breakdown of the descent property for divisorial ideals over three-dimensional rings, and (3) a Cohen-Macaulay ring with all formal fibres Gorenstein but with no Gorenstein modules.
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