… we apply this theory to the Gorenstein flat and Gorenstein injective … cotorsion sheaf, the
components of F are all flat-cotorsion sheaves. In particular, F is an acyclic complex of cotorsion …

… complex quasi-isomorphic to C such that F is K-flat and consists of flat left A-modules; such
a complex … We consider the tilting cotorsion pair (A, Gen TA) induced by T in Mod-A and the …

… case, the complex P is also called a totally acyclic complex of … projective [9] if there is a totally
acyclic complex ⋯ → P → f P → … flat left R-module is a cycle of an exact complex of flat left R-…

… -theoretical hypothesis concerning compact cardinals (see section 6 for details), we show that
the cotorsion … (3) The full subcategory of K(Flat) induced by the F-totally acyclic complexes …

… is an hereditary and complete cotorsion triple that comes from the (L, … complexes with flat
components is an exact complex of flat … We will prensent here some consequences of the theory …

… -theoretical hypothesis concerning compact cardinals (see section 6 for details), we show that
the cotorsion … (3) The full subcategory of K(Flat) induced by the F-totally acyclic complexes …

… totally acyclic complexes. Moreover, we prove this is an equivalence if C is the category of
projective or flat-cotorsion S… –cotorsion theory, to appear in Contemp. Math. Preprint available: …

… and examples of the theory of n-cotorsion pairs, developed in … ) and GF ( R ) of flat and
Gorenstein flat R-modules as halves … -cotorsion pair of complexes, then ( A , B ) is a left n-cotorsion …

… )-acyclic if the complex of abelian groups HomC(X•, Y) = (HomC(Xm, Y))m∈Z is exact for every
Y ∈ Y. HomC(Y, −)-acyclic complexes … theory of (relative) cotorsion pairs appearing in [3]. …

… A complex I of injective objects is called totally acyclic if it is acyclic and HomA(E, I) is acyclic
… one has G ∼= Z0(I) for some totally acyclic complex I of injective objects in A. In what follows…