We show that the question of the decomposition of Gorenstein modules over normal domains can be reduced to the same question over normal domains of low dimension (that is, dimension four or less).;Finally, we give an example of a ring with Gorenstein formal fibres, but with no dualizing complex.;It is proven that q copies of a finitely generated, torsion free module over a normal domain with Krull dimension two descend, if the order of the module in the divisor class group of the ring divides q.
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