Let $ R $ be a ring with Gwgldim $(R)<\infty $. We obtain a triangle-equivalence $\mathrm
{K}(R\text {-}\mathrm {GProj})\simeq\mathrm {K}(R\text {-}\mathrm {GInj}) $ which restricts to a …

We provide a simple proof for a recent result of Bravo, Gillespie and Hovey, showing that
over a left coherent ring for which the projective dimension of at right modules is finite, the …

We study bounded derived categories of the category of representations of infinite quivers
over a ring is a commutative noetherian ring with a dualising complex, we investigate an …

For a triangulated category with products we prove a formal criterion in order to satisfy
Brown representability for covariant functors. We apply this criterion for showing that both …

In this paper, we investigate the homotopy categories K (𝒳∩ 𝒴) and K (𝒳∩ 𝒴 ̃) with respect
to a complete and hereditary cotorsion pair (𝒳, 𝒴) in a bicomplete abelian category. We …

Giving a cotorsion pair in an abelian category CC, we have a sequence of exact functors
between triangulated categories with respect to the pair, and construct right (left) adjoints of …