… complete) cotorsion theory for modules or complexes of … flat complexes of flat contraadjusted
modules and acyclic … and complexes arise in connection with cotorsion pairs, and it …

… complex T of flat-cotorsion modules such that the complexes … R ( W , T ) are acyclic for every
flat-cotorsion R-module W. An R-… flat-cotorsion if there exists a totally acyclic complex T of flat-…

… (also derived I-torsion) complexes of R-modules, which appear in the … We also consider
I-adically flat R-modules. … 2] under the name of “co-torsion abelian groups”; this approach was …

… ◦ -module G is called Gorenstein flat if there exists a F-totally acyclic complex T of flat R … A
Tate flat resolution of an R … , and acyclic DG-cotorsion Rcomplexes are actually cotorsion R-…

… to abelian categories of the flat cotorsion theory for modules over a ring. Using the … flat
cotorsion theory we present a flat totally acyclic cotorsion theory in categories of chain complexes …

… theory on modules (or complexes) over a more general ring. For a generic ring R, It is known
that the canonical projective cotorsion … hereditary cotosion pair is the flat cotorsion pair (F, C)…

… one cotorsion pair, together with a chosen class of acyclic … we construct a category of chain
complexes of sets, and use our … Enochs used them to prove the flat cover conjecture: namely, …

… Avramov and Foxby [Citation4] outlined the theory of homological dimensions for complexes.
… is called Gorenstein flat-cotorsion if there exists a totally acyclic complex of flat-cotorsion R-…

… has found many applications in representation theory and … that a complex of left R-modules
F is K-flat if the complex of … We say that the cotorsion pair is complete if for any object A ∈ A …

… is to relate properties of acyclic complexes of injective modules … acyclic complex of flat
cotorsion A-modules such that Fn = 0 for n ≪ 0. Every acyclic bounded below complex of cotorsion …