… complexes. We show that the category of N-totally acyclic complexes of finitely generated
projective R-modules … , which is a result analogous to the case of ordinary chain complexes. …

… complexes of R-modules: a complex X is Ding projective (respectively, Ding injective, respectively,
Ding flat) if and only if each component Xn is Ding projective … Ding projective modules …

… for chain complexes of projective modules in Section 4. This … ) and the tree of algebraic
n-complexes (see Proposition 5.1). In … following two operations for M a (left) projective ZG-module: …

… of ‘stable module theory’. We apply their idea to the homotopy category of complexes of
finitely generated projective modules. The whole of our stable theory for complexes is devoted to …

… In this way we establish the existence of pure injective envelopes of complexes and we
enlarge the class of Gorenstein projective complexes to get Gorenstein flat complexes and show …

… injective) complexes as well as Gorenstein projective (resp. Gorenstein injective) modules.
We show that the homotopy category of projective complexes over R, denoted K ( Prj C ( R ) ) …

… and projective modules to that of complexes and characterize such complexes. We prove that
… P is a Gorenstein projective module) and the induced map at the rr~odulc level P -+ M is a …

… It follows from [6, Theorem 2.1.3] that D(A)c consists of the complexes which are
isomorphic to bounded complexes of finitely generated projective modules. The same holds …

… , noncontractible, acyclic complexes of finitely generated projective modules over some rings
S, as well as bounded above, noncontractible, acyclic complexes of injective modules. The …

… projective resolution for M. Moreover if M is free as an R-module, then we can find such
complexes … a projective module. By Proposition 3.1 its variety is Va(((1))n ... c~ VG((~,)) ={0}. …