… for higher Auslander algebras analogous to Auslander-Tachikawa … , Theorem 1.1], the left
Gorenstein global dimension of Γ is also the supremum of Gorenstein injective dimensions of …

… is Auslander’s wellknown theorem … Auslander’s theorem in the setting of complete Gorenstein
local domains by examining path algebras, which preserve finiteness of global dimension…

… Gorenstein weak global dimension Gwgldim ( R ) of a ring R equals the supremum of the
Gorenstein flat dimensions of … Gorenstein version of the well-known Auslander’s theorem on the …

… , recently, to obtain a higher analogue of Auslander-Solberg … algebras Γ whose Gorenstein
global dimensions are at most … Auslander algebras by a special Gabriel topology (Theorem …

… analogous versions of the Serre’s Theorem for Gorenstein … Subsequently, Auslander [5]
introduced G-dimensions for … condition so that the Gorenstein global dimensions of group ring K[…

… may date back to the study of G-dimension by Auslander and … a Gorenstein cohomological
version of Serre’s Theorem over … left Gorenstein global dimension is said to be left Gorenstein …

… Our main result substantially improves Theorem 1.1 by relaxing the assumption of the finiteness
of the Gorenstein global dimension … Next we consider the Gorenstein analogue notions. …

… of the Auslander-Buchsbaum formula for the case of the G-… and resolution dimensions (see
the details in Theorem 5.14 (c) … It is the analogue of a torsion pair where the functor Hom A ( …

… category of Gorenstein projective modules from Auslander–Reiten … Theorem 6.2.5 and 𝑞 is
its analogue for Gorenstein injectives. … Next we apply Theorem 6.4.13. Thus there is a triangle …

… rings that was introduced by Auslander and Bridger in [1] has … , Theorem 4.4], PGF-modules
are also Gorenstein projective. … Gorenstein global dimension of the ring was introduced, in …