… Note that Ky/G is trivial since V/G is Gorenstein by Watanabe's Theorem 1.5 and all elements
… in three dimensions-the examples which we discuss here are not three dimensional since …

… the C -transpose and the C -Gorenstein transpose of a same … relations between the Gorenstein
transpose and the transpose … Gorenstein transpose to C -Gorenstein transpose as follows. …

… the finitely generated Gorenstein projective modules over finite dimensional algbras over an
… the Auslander-Bridger transpose functor. The following properties of Gorenstein projective …

… We define the Auslander transpose, … Auslander–Reiten formula in the category of complexes
of maximal Cohen–Macaulay modules. As an application of our result, in case is Gorenstein…

… AuslanderReiten conjecture over a Gorenstein ring in the case where the ring has dimension
… We need to recall the definition of the (Auslander) transpose for the corollary below. Let F1 …

… Tr :(mod-Λ)op ≈ −→ mod-Λop is the Auslander–Bridger transpose duality functor [5].
Recall that for any T in mod-Λ and any A in Mod-Λ we have the Auslander–Reiten formulas [8]: …

… in the representation theory of artin algebras, which leads to later Auslander-Reiten theory
[ARS] and is closely related to some duality on Auslander-Gorenstein rings [I6,8]. It would be …

… R is Gorenstein if the Gorenstein injective dimension of the … Then the transpose TrM of M
is the cokernel of f∗ = HomR(f,R… , so is the injective dimension of k, and hence the Auslander-…

… Since the projective B-lattices are exactly the injective B-lattices, the stable Auslander-Reiten
quiver of B is obtained from the Auslander-Reiten quiver of B by just omitting the points …

… In particular we describe the Auslander-Reiten sequences … for finite-dimensional 1-Iwanaga-Gorenstein
algebras. We find … We define Tr(M) = Cok(p⇤1) and call it the transpose. We …