… (R), the category of unbounded complexes of R-modules with chain maps. However, what
… a complex of projective modules in the middle and ending in a complex of very flat modules, …

… categories of bounded complexes such as one in … of unbounded complexes of modules for
k-projective algebras over a commutative ring k, and give the conditions that tilting complexes …

… and only if it is cotorsion and the left S-module HomR(S, N) is … homological dimensions
of unbounded complexes. In … an Rcomplex P is called semi-projective if each module Pi is …

… projective modules to 0 and therefore identifies f and g when their difference factors through
a projective module. … the category of unbounded chain complexes of (left) R-modules by …

… category of unbounded complexes of strongly copure projective modules with bounded …
in this paper, which is a generalization of Gorenstein projective modules. We consider the …

… of unbounded chain complexes of R-modules, which has as its homotopy category the derived
category D of the ring R. The formation of a projective … notion of “projective object” and “…

… complex is perfect if it is isomorphic to a bounded complex of finitely generated projective
modules… Consider the derived category D(ModR) of unbounded complexes of R-modules. The …

… restricts to Db(C-mod), then this recollement induces an unbounded ladder (B-Gproj,A-Gproj,
C-Gproj) of stable categories of finitely generated Gorenstein-projective modules. Some …

… criteria for complexes of projective or injective Rmodules, one … 3.5) that a complex B of
cotorsion flat R-modules is minimal if … of projective modules, I be the class of injective modules, …

… the equivalence class under ‘v of Hom(P, Y) for any PET (bounded above complexes of
projective modules) with PNX is denoted by Hom(X, Y). Similarly if (X, Y) E % x %?’ then Hom(X, …