A recent result by J. Šaroch and J. Šťovíček asserts that there is a unique abelian model
structure on the category of left R-modules, for any associative ring R with identity, whose …

We prove that, for any n≥ 2, the classes of FP n-injective modules and of FP n-flat modules
are both covering and preenveloping over any ring R. This includes the case of FP∞ …

It is known that over an Iwanaga–Gorenstein ring the Gorenstein injective (Gorenstein
projective, Gorenstein flat) modules are simply the cycles of acyclic complexes of injective …

Let R by a right coherent ring and R-Mod denote the category of left R-modules. We show
that there is an abelian model structure on R-Mod whose cofibrant objects are precisely the …

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 …

\emph {Approximation Theory} uses nicely-behaved subcategories to understand entire
categories, just as projective modules are used to approximate arbitrary modules in classical …

Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …

We study a notion of total acyclicity for complexes of flat sheaves over a scheme. It is Zariski-
local—ie it can be verified on any open affine covering of the scheme—and for sheaves over …

For a class of $ R $-modules $\mathcal {X} $ containing all projective $ R $-modules, the
$\mathcal {X} $-Gorenstein projective $ R $-modules vary from projective to Gorenstein …

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 …