… Gorenstein projective dimension of a ring R is equal to the global Gorenstein injective
dimension … Ren and Liu in [14] studied Gorenstein homological dimensions for triangulated …

… Gorenstein homological dimension of G over R, denoted by GhdRG, as the Gorenstein flat
dimension … More general, we consider Gorenstein homological dimensions of the group under …

… Gorenstein projective dimension of objects. Consequently, it preserves and reflects Gorenstein
… the stable categories of Gorenstein projective objects, the singularity categories and the …

… the relative homological dimension based on the class of projectively coresolved Gorenstein
flat … The resulting PGF-dimension of modules has several properties in common with the …

… of the projective and injective dimensions of a finite module … of the finiteness of certain
homological dimensions of M if R is local… characterizations of when R is Gorenstein (and other ring-…

… Gorenstein projective modules, we give a new way of measuring (X, Y)-Gorenstein projective
dimension by … Then we relate the relative global Gorenstein homological dimension to the …

… RΓ −, preserve the class of Gorenstein flat-cotorsion modules. … GhdRΓ, which refines the
Gorenstein homological dimension … invariant GhdRΓ, Gorenstein homological dimension Γ over …

… We remark that it is reasonable to study Gorenstein homological theory over Gorenstein …
has a Gorenstein projective approximation ([32, Theorem 2.10]); many homological invariants …

… Gorenstein projective, Gorenstein injective, and Gorenstein … to have Gorenstein homological
dimensions and Gorenstein … a bounded complex of Gorenstein projective modules and …

… Our primary focus in this section is to explore the relative homological dimensions induced
by the subcategories G ( X , Y ) . We will establish that the G ( X , Y ) -projective dimension of …