… a bounded complex of flat modules into a bounded complex of flat modules, a corresponding
statement holds in the derived category of the category of A-modules. This is Theorem 6.5. …

… of homological dimensions of bounded complexes of modules as proposed by … a field, then
the inequality in (0.3) holds for any bounded complexes … M consists of flat modules such that …

… Basically he removed the boundedness conditions in some theorems about the existence of
… generated module over a Gorenstein local ring. In Chapter 4 we introduce flat complexes. …

… Now, consider the bounded complex X of finitely presented complexes with Xn = Cn/BnC,
Xn−1 = Cn−1, Xn−2 = Cn−1/Bn−1C and Xi = 0 for all other i. There is a chain map g : X −→ Y …

… that the projective dimension of flat modules is then ≤ n + 1 ) … projective dimension of flat
modules is then bounded by the … bounded complex of flat right modules, the complex DX is left …

… exact complex G of right A-modules bounded above (ie, G−i = Gi = 0 for i ≫ 0). A complex F
of flat left A-modules is K-flat if it is bounded … A null-homotopic complex F is K-flat, since G ⊗• …

… question about flat S-modules. Here one … bounded acyclic complex of flat modules need
not be contractible. However, such a complex is always pure acyclic, or in other words, has flat …

… Gorenstein flat dimensions for complexes of left modules over associative rings. In particular,
we consider the class of homologically bounded below complexes of left R-modules, and …

… consider bounded versions; thus Db(A) is the derived category of bounded complexes in
A. … We will use some standard lemmas about flat modules a great deal; because we rely on …

… of strongly Gorenstein flat complexes. We show that a complex C of left R-modules over a
right … For a right coherent ring R, we show that every bounded below complex has a 𝒮𝒢 ⊥ -…