… complexes and in Gorenstein homological algebra. For example we show that every acyclic
complex of cotorsion modules … a complex of cotorsion modules and F is an acyclic complex …

… projectivity of pure periodic modules and Neeman's characterization of the … acyclic complexes
of flat modules, by relating the pure acyclic complexes of (not necessarily flat) modules to …

… acyclic complex of projective modules is totally acyclic if and only if the cycles of every acyclic
complex of Gorenstein projective modules … averaging complex is an A -periodic module, …

… start with a complex of cyclic objects, and we produce a spectral sequence converging to
its co-periodic cyclic homology. We need to impose one condition on the complex that we call “…

… acyclic if and only if any chain map f : P → F from a complex P … As a consequence we prove
that any pure periodic object in A … that the pure acyclic complexes of flat modules (that appear …

… asked whether two minimal acyclic complexes in general can be … , including periodic
complexes, sesqui-acyclic complexes, … M as a syzygy module in a minimal acyclic complex, the left-…

… -S-module does not provide us with a chain complex, and so … for para-Smodules and
parachain complexes of the basic … T is the periodic complex of the H-unital precyclic module CT …

… We show in Theorem 5.6 that this subcategory is equivalent to the homotopy category of F-totally
acyclic complexes of flat-cotorsion A-modules, and thus to the stable category of …

… As X• is acyclic we have that Pn is adth-syzygy of Pn+d (here d = dim A). So Pn is a projective
module. It is then readily proved that the identity map on X• is null-homotopic. So X• = 0 in K…

… Applying this assertion to the canonical filtration τ≤nVm ↩→ Vm on an acyclic complex
Vm of flat R-modules we conclude that Vm is a filtered colimit of acyclic bounded from above …