Abstract
Let [Formula: see text] be a left and right Noetherian ring. In this paper, we prove that any Gorenstein transpose of a finitely generated [Formula: see text]-module is exactly an Auslander transpose. As applications, we obtain a new relation between a Gorenstein transpose of a module with a transpose of the same module, and show that the Gorenstein transpose of a module is unique up to Gorenstein projective equivalence. In addition, when [Formula: see text] is an Artin algebra, the corresponding Auslander–Reiten sequences are constructed in terms of Gorenstein transposes.
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