… the theorem the left Gorenstein global dimension of R and denoted by l.Ggldim(R). If R is
commutative, then this quantity is simply called Gorenstein global dimension of R and denoted …

… In particular, we characterize these dimensions in terms of the classes … Gorenstein flat
dimension of go (R), the global Gorenstein projective dimension of 90 (R), the global Gorenstein …

… dimension enjoys all the properties of the cohomological and the Gorenstein cohomological
dimension… module of finite flat dimension, then M has finite Gorenstein flat dimension as well …

… We show (Theorem 4.2) that a ring R is left n-perfect if and only if every Gorenstein flat
left R-module has PGF dimension less than n. In the case n = 0, we obtain other equivalent …

… dimension wD(R) ≤ n if and only if every Gorenstein FP-injective left R-module is FP-injective
(see Proposition 2.9). For an n-FC and perfect ring R, it is shown that every R-module has …

… Auslander [1] in connections with his study of G-dimensions). It is now well known that
over … Gorenstein flat modules (see 3 for the definition) and obtain a relative version of the "flat …

… A natural question is whether all (L, A)-Gorenstein projective R-modules are (L, A)-Gorenstein
flat, for now we will prove this for a symmetric duality pair {L, A}. Thus, the inequality Gfd(F,…

… , a complex C is Gorenstein flat if and only if each module C n is Gorenstein flat. If moreover
… ring of finite Krull dimension, then the class of Gorenstein projective complexes coincides …

… We introduce a refinement of the Gorenstein flat dimension for … dimension without extra
assumptions on the ring. Crucially, we show that it coincides with the Gorenstein flat dimension …