… hand, flat cotorsion right modules have right cotorsion endomor… of totally acyclic complexes
of projective modules, evaluated in I, is equivalent to the category of totally acyclic complexes …

… The invariant is built on the theory of Gorenstein flat-cotorsion … An acyclic complex T of
flat-cotorsion A-modules is called totally acyclic if Hom A ( T , F ) is acyclic for every flat-cotorsion A-…

… ◦ -modules and the class FC of flat and cotorsion R ◦ -modules are closed under extensions
and direct summands, and FC is a cogenerator for GF in the sense of Auslander and …

… every flat quasi-coherent sheaf has finite cotorsion dimension… dg-CofX)) is a complete cotorsion
theory in K(FlatX) where K(… category of dg-cotorsion complexes of flat 𝒪 X -modules. This …

… the right half of a hereditary cotorsion pair. If moreover the ring … (−,T), with T any flat module.
The Ding projective and the Ding … the A-acyclic complexes of injectives to the exact A-acyclic …

… complexes of flat quasi-coherent sheaves on a scheme X: arbitrary complexes of flats, acyclic
complexes of flats with flat … of this paper are based on category theory. Let κ be a regular …

… Z is a cokernel in an acyclic complex of strongly cotorsion modules; we first … flat-cotorsion if
there exists a totally acyclic complex F of flat-… –cotorsion theory, Categorical, Homological and …

… theory on an additive exact category ( A , E ) . This … acyclic complex F of flat R-modules
is called totally acyclic if, … G F -phantom precover with cotorsion-flat kernel for each R -module. …

… projective, injective and flat modules and developed Gorenstein … }})\) is a complete hereditary
cotorsion pair by [5, Lemma 5.6 … 4, we study the Tate cohomology theories with respect to …

… cotorsion pair ( dg X , Y ) in the category of R ∘ -complexes; … is acyclic for every injective R
∘ -module E. An R-module M is called Gorenstein flat if there exists a F-totally acyclic complex …