Let T be an infinitely generated tilting module of projective dimension at most one over an
arbitrary associative ring A, and let B be the endomorphism ring of T. We prove that if T is …

Let A be a graded algebra. It is shown that the derived category of dg modules over A
(viewed as a dg algebra with trivial differential) is a triangulated hull of a certain orbit …

We consider recollements of derived categories of differential graded algebras induced by
self-orthogonal compact objects obtaining a generalization of Rickardʼs Theorem …

Given small dg categories A and B and a BA-bimodule T, we give necessary and sufficient
conditions for the associated derived functors of Hom and the tensor product to be fully …

Given a recollement of three proper dg algebras over a noetherian commutative ring, eg
three algebras which are finitely generated over the base ring, which extends one step …

Homological tilting modules of finite projective dimension are investigated. They generalize
both classical and good tilting modules of projective dimension at most one, and produce …

In this paper, we consider the endomorphism algebra of an infinitely generated tilting
module of the form R 𝒰⊕ R 𝒰/R over a tame hereditary k-algebra R with k an arbitrary field …

We introduce the notion of big tilting complexes over associative rings, which is a
simultaneous generalization of good tilting modules and tilting complexes over rings. Given …

Infinite dimensional tilting theory Page 1 Infinite dimensional tilting theory Lidia Angeleri
Hügel Universit`a dell’Insubria Varese, Italy June 2008 Page 2 Notation. Let R be a ring (associative …

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 …