… complexes was studied by Murfet and Salarian [ 21 ]. We show in Theorem … homotopy
category of F -totally acyclic complexes of flat-cotorsion A -modules, and thus to the stable category …

… of projective R-modules is triangle equivalent to the homotopy category of projective …
category and N-totally acyclic complexes. We show that the category of N-totally acyclic complexes …

… homotopy theory of exact categories. We introduce different notions of compactness and
generation in exact categories… Also let Q‚ be an acyclic complex with Q1 “ B and Qn “ 0 for n ă 1. …

… In general, we view Dtac(FlatX) as being glued together from the homotopy categories of
totally acyclic complexes of projective modules over the affine open subsets of X. This suggests …

… embedding of the homotopy category of projective modules … these complexes with respect
to left or right bounded complexes … acyclic complexes of flat modules in terms of the complexes …

… category of acyclic complexes of projectives by its subcategory of totally acyclic complexes
and the corresponding category … We write K(R) for the homotopy category of complexes over R…

… category of the homotopy category modulo split complexes. As a result of the stable theory,
we are able to prove that any complex … ring is acyclic if and only if its dual complex is acyclic. …

… Let X be an acyclic N-complex and E an N-complex of injectives. If X vanishes in degrees >
n, then the chain map X → E factors through the brutal truncation E妻n, the factorization is the …

… D(AC), is the quotient of the chain homotopy category, K(AC), by the thick subcategory
AC of all acyclic complexes in the sense of Definition 3.2. We denote by S (AC) the full …

… abelian category in which products of acyclic complexes need not be acyclic. It follows
that D() is not compactly generated. I believe this is the first known example of such a thing. …