Given a locally coherent Grothendieck category G, we prove that the homotopy category of
complexes of injective objects (also known as the coderived category of G) is compactly …

To a big-tilting object in a complete, cocomplete abelian category with an injective
cogenerator we assign a big-cotilting object in a complete, cocomplete abelian category with …

A ring is left Gorenstein regular if the classes of left modules with finite projective dimension
and finite injective dimension coincide and the injective and projective finitistic left …

We define a notion of total acyclicity for complexes of flat quasi-coherent sheaves on a semi-
separated noetherian scheme, and study these complexes using the pure derived category …

We introduce the notion of balanced pair of additive subcategories in an abelian category.
We give sufficient conditions under which a balanced pair of subcategories gives rise to a …

Injective Representations of Infinite Quivers. Applications Page 1 Canad. J. Math. Vol. 61 (2),
2009 pp. 315–335 Injective Representations of Infinite Quivers. Applications E. Enochs, S …

A question of Gillespie concerning the completeness of the induced cotorsion pairs is settled
in the general setting of any bicomplete abelian category. That is, given a complete …

We study total acyclicity for complexes of projective and injective representations of quivers.
A classification is given for such complexes in terms of associated vertex-complexes. When …

Abstract Let T=(RM 0 S) be a triangular matrix ring with R and S rings and RMS an R–S-
bimodule. We describe Gorenstein projective modules over T. In particular, we refine a result …

We present a general construction of model category structures on the category C (Qco (X))
of unbounded chain complexes of quasi-coherent sheaves on a semi-separated scheme X …