… We introduce a transpose TrcM of an R-module M with respect to C … Auslander transpose
and Huang’s transpose, see ZYHuang, On a generalization of the Auslander-Bridger transpose…

… (resp., Gorenstein Artin algebras). Finally, we obtain a dual version of the Auslander–Bridger …
As a consequence, we get some equivalent characterizations of Auslander n-Gorenstein …

… any Gorenstein transpose of a finitely generated R-module is exactly an Auslander transpose.
… Gorenstein transpose of a module with a transpose of the same module, and show that the …

… This article reveals that the Auslander transpose in the … linkage theory as well as the
Auslander–Reiten theory in S. … a ddimensional commutative complete Gorenstein local ring. …

The notions of Cohen-Macaulay and Gorenstein rings, as well as Cohen-Macaulay modules,
are well established in commutative noetherian ring theory. In [ 6 ] we introduced similar …

… In this subsection we complete the proof of the Auslander–Bridger formula. Before we can
do that, however, we must bring regular elements into the picture. In particular, we need to …

… As a dual of the Auslander transpose of modules, we introduce and study the cotranspose of
… We will denote by GI the class of finitely generated Gorenstein injective left ƒ-modules. We …

… The usual Auslander–Reiten translation DTr of Λ is denoted … omitted; here Tr is the
Auslander–Bridger transpose. For a Λ-… concerning the Gorenstein injective dimension Gid ( M ) of …

… This relative transpose for M is called X ( B ) -transpose of M … the Auslander–Bridger transpose
to the setting of this relative … G B of all B-Gorenstein projective modules. We obtain that for …

… (see [6]), we say n is k-Gorenstein if it is either left or right k-Gorenstein. If n is k-Gorenstein
for all k, then it is known in the literature as an Auslander ring. Although these notions have …