… 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 …

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

… complexes. We show that the category of N-totally acyclic complexes of finitely generated
projective R-modules … We denote the homotopy category of unbounded N-complexes by K N ( …

… projective dimension for a complex M by its 𝒳-complete resolutions in Section 3, where 𝒳
stands for a class of modules containing all projective modules (… complex of projective modules …

… ) studied resolutions of unbounded complexes using the early … define homological dimensions
of unbounded complexes. But … projective complexes to get Gorenstein flat complexes and …

… finitely generated projective modules E (projective modules for short) … a module can always
be realised as the right A-module eAN … Since the module we consider is made out of complex-…

… the notion of semidualizing modules over a commutative (… projective modules. Enochs and
García Rozas [Citation4] introduced Gorenstein injective and Gorenstein projective complexes…

… when M is a finitely generated projective module. When both H(M) and pdR M are finite, M
can be replaced by a bounded complex of such modules; this explains the assertion about the …

… is the class of all Gorenstein projective modules over a ring R, … Moreover, GP is complete
when all projective modules are λ-pure… of modules isomorphic to the cycles of some unbounded …

… (also derived I-torsion) complexes of R-modules, which appear in the … We also consider
I-adically flat R-modules. … One can easily see that the projective dimension of the R-module R [ …