In [5] Brenner-Butler first introduced the notion of a tilting module in a rather restrictive form,
and in [6] Happel-Ringel generalized their work and extensively developed the theory of …

This paper is a sequel to T-structures and twisted complexes on derived injectives by the
same author with W. Lowen and M. Van den Bergh. We define a dg-category of unbounded …

Tilting modules arose from representation theory of algebras and are known to furnish
equivalences between categories of modules. We single out some weaker properties which …

Given any Grothendieck category G, we study the notion of a tilting object of G, proving some
basic facts of tilting theory in this general setting. Our results apply, for instance, to …

Let C be an (d+ 2)-angulated category with an d-suspension functor Σd. Our main results
show that every Serre functor on C is an (d+ 2)-angulated functor. We also show that C has a …

In this article, we prove a similar theorem to C, Theorem 6 which holds in a more general
setting. In particular, we focus on the construction of a natural morphism giving rise to a …

If B is a full subcategory of Mod R whose objects are the torsionfree divisible objects for
some torsion theory then B is the limit closure of a class of injectlves, and conversely. We …

We introduce and study the notion of torsion theory in the non-abelian context of
homological categories, and we investigate the properties of the corresponding closure …

In a compactly generated triangulated category, we introduce a class of tilting objects
satisfying a certain purity condition. We call these the decent tilting objects and show that the …

We study the projective dimensions of the restriction of functors Hom (-, X) to a
contravariantly finite rigid subcategory T of a triangulated category C. We show that the …