Let A be a commutative ring, and aa weakly proregular ideal in A. This includes the
noetherian case: if A is noetherian then any ideal in it is weakly proregular; but there are …

We study connections between recollements of the derived category D (ModR) of a ring R
and tilting theory. We first provide constructions of tilting objects from given recollements …

We give a general parametrization of all the recollement data for a triangulated category with
a set of generators. From this we deduce a characterization of when a ℵ0-perfectly …

It is shown that a recollement of derived categories of algebras induces those of tensor
product algebras and opposite algebras respectively, which is applied to clarify the relations …

We apply the technique of recollement to study the Gorenstein defect categories of triangular
matrix algebras. First, we construct a left recollement of Gorenstein defect categories for a …

We study torsion torsionfree (= TTF) triples in abelian and triangulated categories.(Notice
that TTF triples in a triangulated category are essentially in bijection with recollement data …

Let R and S be differential graded algebras. In this article, we give a characterisation of
when a differential graded RS-bimodule M induces a full embedding of derived categories In …

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

Full article: Recollements of Singularity Categories and Monomorphism Categories Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log …

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 …