… some basic properties of CE projective, injective and flat complexes… CE projective dimension
and CE flat dimension can be … (5) Every CE Gorenstein projective R-complex is CE injective…

… and small restricted injective dimensions of Christensen, Foxby and Frankild coincide, see
[10]. … type for the intermediate dimensions 1 < 𝑘 < 𝖽𝗂𝗆(𝑅), even when 𝑅 is a Gorenstein ring, …

… We also show these vanishing and injectivity theorems hold … ) of dimension ≤ 4 with R/m ≃
C are Gorenstein that removes … Since this chain of inclusions must base change to a chain of …

… Let X be a Gorenstein Fano variety of dimension d that has rational singularities and let L
be … In fact, we not only changed the name of dual-integral polytopes from weakly dualFano …

… , we observe that Gorenstein injective, Gorenstein flat, strongly … Additionally, Gorenstein
injective and strongly cotorsion … We denote by cd(I,M) the cohomological dimension of M with …

… such as projective dimension, injective dimension, and flat dimension are central themes in
… In the following, we recall definition of Gorenstein dimension which we use in the rest of this …

… self-injective algebra and V is a Λ-module with finite dimension … stable under taking syzygies.
This approach was used in [12… module M is of Gorenstein dimension zero or totally reflexive …

… -projective dimensions and DC -projective modules under change of rings. … Gorenstein
projective and Gorenstein injective modules, strongly Gorenstein flat and Gorenstein FP-injective …

… as the locally Gorenstein, strict Gorenstein and strict complete … BO(H), and the underlying
base changes and morphisms of … It is sometimes called the length of X and will be denoted by …

… Gorenstein ACprojective dimension. … Gorenstein AC-projective dimension is extended.
Finally, the relationships between projective dimension and Gorenstein AC-projective dimension …