… We introduce a transpose TrcM of an R-module M with … Using minimal projective resolutions
of modules, the transpose … Now we generalize this notion and the Auslander transpose to …

… (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 …

… Denote by TrC the transpose of a I\.-module C and by modI\. and CM(I\.) the categories …
Viewing A as a cotilting module for a Gorenstein algebra, we have the following generalization of …

… In Section 4 we generalize the cograde of finitely generated modules in [14] to general …
We will denote by GI the class of finitely generated Gorenstein injective left ƒ-modules. We …

… As a generalization of the notion of the Auslander condition, Huang and Iyama [16] … Recall
from [1] that Tr 𝑀 ∶= Coker 𝑓∗ is called the transpose of 𝑀. Note that the transpose of 𝑀 is …

… over a Gorenstein local ring has finite Gorenstein dimension). … an Auslander bound for
complexes, where we generalize [1, … Note that the Auslander transpose is unique up to projective …

… Gorenstein projective object may be generalized to the morphism category. In fact, a given
object (A f→ B) ∈ M is Gorenstein … ddimensional commutative complete Gorenstein local ring. …

… omitted; here Tr is the Auslander–Bridger transpose. For a Λ-… This generalization to the
non-commutative setting is due to … definition concerning the Gorenstein injective dimension Gid ( …

… C -projective dimension to an object in rG(C ). As an application, we obtain a weak Auslander-…
As a common generalization of Gorenstein projective and Gorenstein injective modules, …

… Gorenstein dimension introduced by Auslander … generalized Gorenstein dimension which
extend corresponding results by Auslander and Bridger on (ordinary) Gorenstein dimension. …