… dual case of Gorenstein injective dimension was treated by … of Gorenstein flat dimension
for unbounded complexes; it … of Gorenstein homological dimensions of complexes under …

… bounded complexes to the setting of unbounded complexes … of Gorenstein injective dimension
of unbounded complexes … Gorenstein projective dimension of unbounded complexes is …

… Inspired by Veliche’s construction of defining Gorenstein projective dimension for every
complex, we introduce in this section the 𝒳-Gorenstein projective dimension for every complex in …

… the Gorenstein dimensions of an R-complex X (possibly unbounded) with those of the S-complexes …
More generally, the Gorenstein injective dimension of RHom R (U, X) is considered …

… dimension of an R-complex X. We recall some results on transfer of Gorenstein dimensions
of complexes … in [15] that for every homologically bounded complex X with finitely generated …

… above complex N of finite Gorenstein injective dimension we … above complex of finite
Gorenstein injective dimension and … P), the projective dimension of an unbounded complex M is …

… Gorenstein (L, A)-flat modules is closed under extensions. We define a notion of Gorenstein
(L, A)-flat dimension for complexes … of Gorenstein flat dimension for unbounded complexes …

… N) is Gorenstein injective. We apply these results to the study of Gorenstein homological
dimensions of unbounded complexes. In particular, we prove two theorems on stability of these …

… In [3], Avramov and Foxby defined the projective (resp., injective, flat) dimension for unbounded
complexes by means of differential graded (DG)-projective (resp., DG-injective, DG-flat) …

… $R$ is a generically Gorenstein ring, then as we shall show in Theorem 4.2, a complex X $X$
… such as the generic Gorenstein condition with the *torsion-free or the *reflexive property for …