… totally acyclic complexes of flat-cotorsion A-modules, and thus to the stable category of
cotorsion Gorenstein flat … equivalent to the stable category of cotorsion Gorenstein flat A-modules. …

… every acyclic complex of cotorsion modules has cotorsion … complex of cotorsion modules
and F is an acyclic complex of … between flat Proj-periodic modules and acyclic complexes of …

… in the theory of … totally acyclic complex of flat-cotorsion R-modules, then by symmetry,
all the kernels, cokernels and the images of the differentials of L are Gorenstein flat-cotorsion…

… We will call a right (F∩C)(R)-totally acyclic complex a totally acyclic complex of flat-… A
refinement of Gorenstein flat dimension via the flat-cotorsion theory. J. Algebra, 567:346–370, 2021…

… , as well as in representation theory and model category theory. This is the reason why the
… (2) Every exact complex of cotorsion-flat right R-modules is F-totally acyclic. (3) Every exact …

… 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 …

… the classes of Gorenstein flat (resp., flat) and cotorsion (resp., Gorenstein cotorsion) modules.
In … from model theory, we determine some conditions for B so that the class of Gorenstein B-…

… 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, …

… 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:…

… 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-…