(Partial) Gorenstein silting modules are introduced and investigated. It is shown that for finite
dimensional algebras of finite CM-type, partial Gorenstein silting modules are in bijection …

We provide a complete classification of all tilting modules and tilting classes over almost
perfect domains, which generalizes the classifications of tilting modules and tilting classes …

We describe a general correspondence between injective (resp. projective) recollements of
triangulated categories and injective (resp. projective) cotorsion pairs. This provides a model …

The aim of this paper is two-fold. Given a recollement (T′, T, T ″, i*, i*, i!, j!, j*, j*), where
T′, T, T ″are triangulated categories with small coproducts and T is compactly generated …

In this paper, we study a particular case of Gorenstein projective, injective, and flat modules,
which we call, respectively, strongly Gorenstein projective, injective, and flat modules. These …

We introduce the right (left) Gorenstein subcategory relative to an additive subcategory CC
of an abelian category AA, and prove that the right Gorenstein subcategory rG (G (C) G (C)) …

We give a sufficient condition for the class of Gorenstein injective modules be precovering: if
$ R $ is right noetherian and if the class of Gorenstein injective modules, $\mathcal {GI} $, is …

We introduce symmetric subcategories of abelian categories and show that the derived
category of the endomorphism ring of any good tilting module over a ring is a recollement of …

We prove that for a Frobenius extension, if a module over the extension ring is Gorenstein
projective, then its underlying module over the base ring is Gorenstein projective; the …

In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …