Hereditary abelian model categories | Bulletin of the London Mathematical Society | Oxford
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We characterize Ding modules and complexes over Ding-Chen rings. We show that, over a
Ding-Chen ring R, the Ding projective (respectively, Ding injective, respectively, Ding flat) R …

ABSTRACT A natural generalization of locally noetherian and locally coherent categories
leads us to define locally type FP∞ categories. They include not just all categories of …

Let R be a general ring. Duality pairs of R-modules were introduced by Holm-Jørgensen.
Most examples satisfy further properties making them what we call semi-complete duality …

We define the projective stable category of a coherent scheme. It is the homotopy category
of an abelian model structure on the category of unbounded chain complexes of quasi …

We show how to obtain recollements of triangulated categories using the theory of exact
model structures from [13]. After noting how the theory relates to well-known notions in the …

Let $ A $, $ B $ be two rings and $ T=\left (\begin {smallmatrix} A & M 0 & B\end
{smallmatrix}\right) $ with $ M $ an $ A $-$ B $-bimodule. Given two complete hereditary …

arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …

Let (G,⊗) be any closed symmetric monoidal Grothendieck category. We show that K-flat
covers exist universally in the category of chain complexes and that the Verdier quotient of K …

We prove that Vopěnka's Principle implies that for every class X of modules over any ring,
the class of X-Gorenstein Projective modules (X-GP) is a precovering class. In particular, it is …