We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in
any triangulated category D with arbitrary (set-indexed) coproducts. We show that …

We give criteria for subcategories of a compactly generated algebraic triangulated category
to be precovering or preenveloping. These criteria are formulated in terms of closure …

Equivalences Induced by Infinitely Generated Silting Modules Page 1 https://doi.org/10.1007/s10468-019-09930-3
Equivalences Induced by Infinitely Generated Silting Modules Simion Breaz1 ·George …

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 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 …

We show that the cotilting heart associated to a tilting complex $ T $ is a locally coherent and
locally coperfect Grothendieck category (ie\a completion of an artinian abelian category) if …

Let Mod-S denote the category of S-modules, where S is a small pre-additive category.
Using the notion of relative derived categories of functor categories, we generalize Rickard's …

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 develop the theory dg algebras with enough idempotents and their dg modules and
show their equivalence with that of small dg categories and their dg modules. We introduce …

Given associative unital algebras $ A $ and $ B $ and a complex $ T^\bullet $ of $ BA-$ bi\-
modules, we give necessary and sufficient conditions for the total derived functors, $\Rh_A …