We make a general study of Quillen model structures on abelian categories. We show that
they are closely related to cotorsion pairs, which were introduced by Salce [Sal79] and have …

An n-FC ring is a left and right coherent ring whose left and right self-FP-injective dimension
is n. The work of Ding and Chen shows that these rings possess properties which generalize …

In this paper, we prove that the global Gorenstein projective dimension of a ring $ R $ is
equal to the global Gorenstein injective dimension of $ R $ and that the global Gorenstein …

We introduce and study a class of Iwanaga–Gorenstein algebras defined via quivers with
relations associated with symmetrizable Cartan matrices. These algebras generalize the …

By Auslander's algebraic McKay correspondence, the stable category of Cohen-Macaulay
modules over a simple singularity is triangle equivalent to the $1 $-cluster category of the …

Now, since Ext£+ 1 (M, K)= 0 but Ext£(M, S)= é 0 by the dual of [6, Lemma 1], Ext r (M, P)= é
0 and hence id (P)= n again by Theorem 2.(2) Decompose rR into projective …

Hereditary abelian model categories | Bulletin of the London Mathematical Society | Oxford
Academic Skip to Main Content Advertisement Oxford Academic Journals Books Search Menu …

This book is a lightly edited version of the unpublished manuscript Maximal Cohen–
Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz …

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 …

The purpose of this paper is to describe a connection between model categories, a structure
invented by algebraic topologists that allows one to introduce the ideas of homotopy theory …