We investigate several homological aspects of recollements of abelian categories. In
particular, we study how various homological invariants and dimensions of the categories …

Derived equivalences and t-structures are closely related. We use realisation functors
associated to t-structures in triangulated categories to establish a derived Morita theory for …

In the setting of compactly generated triangulated categories, we show that the heart of a
(co) silting t-structure is a Grothendieck category if and only if the (co) silting object satisfies …

Given an artin algebra $\Lambda $ with an idempotent element $ a $ we compare the
algebras $\Lambda $ and $ a\Lambda a $ with respect to Gorensteinness, singularity …

We describe a reduction technique for stably 2-Calabi--Yau Frobenius extriangulated
categories $\mathcal {F} $ with respect to a functorially finite rigid subcategory $\mathcal {X} …

In this paper we construct Gorenstein-projective modules over Morita rings with zero
bimodule homomorphisms and we provide sufficient conditions for such rings to be …

325 Diagrams and discrete extensions for finitary 2-representations Page 1 Math. Proc.
Camb. Phil. Soc. (2019), 166, 325–352 c Cambridge Philosophical Society 2017 doi:10.1017/S0305004117000858 …

The Auslander correspondence is a fundamental result in Auslander-Reiten theory. In this
paper we introduce the category mo d adm (E) of admissibly finitely presented functors and …

We show that Auslander algebras have a unique tilting and cotilting module which is
generated and cogenerated by a projective–injective; its endomorphism ring is called the …

Let A be an abelian category and B be the Happel-Reiten-Smalø tilt of A with respect to a
torsion pair. We give necessary and sufficient conditions for the existence of a derived …