… If M is a module of finite flat dimension, then M has finite Gorenstein flat dimension as well
… note that any Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, …

… modules is contained in the class of Gorenstein flat modules. This paper proves … of finite
Gorenstein flat dimension to be projectively coresolved Gorenstein flat, or of finite flat dimension. …

… In addition, we give an estimate of Gorenstein flat dimension of a left T-module. It is proven
… left global Gorenstein flat dimension, U B is flat, U A has finite flat or injective dimension, then …

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

… Gorenstein flat dimension by (projectively coresolved) Gorenstein flat modules and modules
of finite flat dimension… These approximations determine the Gorenstein flat dimension and …

… 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 …

… 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,…

… 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 …

… R-module X, the Gorenstein flat dimension of X is equal to the Gorenstein flat dimension of
F(X), … In Section 4, we consider when the Gorenstein flat dimension of modules is preserved …