… model structures on chain complexes valued in accessible … colimits and enough flat objects,
the flat cotorsion pair on E … general theory of exact model structures and cotorsion pairs, …

… role in homological algebra and representation theory (eg, [AB89], [… of totally acyclic
complexes of flat cotorsion modules is equivalent to the stable category of Gorenstein-flat cotorsion …

… our notion of a flat functor and prove that the corresponding cotorsion theory is complete. Let
… procedure to construct a cotorsion complex C from C1 and a flat complex F from F′ which …

… cotorsion and Gorenstein flat are precisely the sheaves that arise as cycles in F-totally acyclic
complexes of flat-cotorsion … –cotorsion theory, Contemp. Math, to appear. Preprint arXiv:…

… the structure on bounded chain complexes with quasi-… cotorsion theories” [11], and became
more widely known in the 90's when Bican, El Bashir, and Enochs used them to prove the flat …

… of these modules and complexes, and the theory is particularly … result concerning totally
acyclic complexes of injectives [27, … class of all complexes C with each Cn cotorsion and with the …

… 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 …

… (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-…

… 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-…