… below complexes of left R-modules, and show that strongly Gorenstein flat dimension has
a … In addition, we will investigate the strongly Gorenstein flat properties of complexes under …

In basic homological algebra, the projective, injective and flat dimensions of modules play
an … related Gorenstein projective, Gorenstein injective and Gorenstein flat dimensions are …

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

… the class of Gorenstein flat modules. We show that when the ring R is two sided noetherian,
a complex C is Gorenstein flat if and only if each module C n is Gorenstein flat. If moreover …

… of the relative Gorenstein flat model structure on the category of complexes. We point out in
… model structures on chain complexes associated to relative Gorenstein flat modules. Quillen …

… A Gorenstein flat module is a syzygy of an acyclic complex of … To that end, we note that any
Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, such a module …

… An R–module A is Gorenstein flat if there exists an exact complex F of flat modules, such that
A is isomorphic to a cokernel of F, and H(J ⊗R F) = 0 for all injective Ropp–modules J. Such …

… Abstract We show that over a right coherent left perfect ring R, a complex C of left R-modules
is Gorenstein projective if and only if Cm is Gorenstein projective in R-Mod for all m ∈ Z. …

… of Gorenstein flatness of objects in the category of complexes of … Gorenstein flat complexes
of modules. We show that if R is a left GF-closed ring, then a complex X is Gorenstein flat …

… Gorenstein projective, injective and flat dimensions. We examine conditions which imply that
all Gorenstein projective modules are Gorenstein flat … Given an acyclic complex of projective …