… 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. …

… , algebraic topology and representation theory. Not only do these areas … flat module is a cycle
of an F-totally acyclic complex of flat … Then every strongly cotorsion module has Gorenstein …

… The theory is also applicable in the setting of commutative … theory is our motivation for
studying totally acyclic complexes … We say that S is cotorsion flat if it is both cotorsion and flat; …

… 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 …

… algebra, noncommutative algebra, representation theory, and model category theory [13].
That … cotorsion, making it cotorsion flat. This implies that B is an exact complex of cotorsion flat …

… The aim of the theory developed in this paper is to describe flat modules over associative …
We denote this complex by and place it in the cohomological degrees 0 and 1 (so \(T^0=\…

… cotorsion pairs in the category of complexes of flat OX-modules and its homotopy category.
Let us define cotorsion … , an acyclic complex F of flat OX modules is called a flat complex if, for …

… ], we show that minimal complexes of cotorsion flat R-modules … complexes of projective or
injective Rmodules, one of our goals is to show (Theorem 3.5) that a complex B of cotorsion flat …

… flat dimension of a homologically bounded below complex X is … a flat resolution of X is a
syzygy of an F-totally acyclic complex. … is an acyclic complex of cotorsion modules with cotorsion …

… , 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 …