We study the transfer of (dual) relative Rickart properties via functors between abelian
categories, and we deduce the transfer of (dual) relative Baer property. We also give …

This dissertation is intended to transport the theory of Serre functors into the context of A∞-
categories. We begin with an introduction to multicategories and closed multicategories …

Abstract Let E=(A, S) be an exact category with enough projectives P. We introduce the
notion of support τ-tilting subcategories of E. It is compatible with the existing definitions of …

For a left noetherian ring, we establish a bijective correspondence between equivalence
classes of cotilting-modules which are not necessarily finitely generated, and torsion pairs …

On projectivity in locally presentable categories Page 1 Journal of Algebra 272 (2004) 701–710
www.elsevier.com/locate/jalgebra On projectivity in locally presentable categories J …

In the representation theory of algebras situations occur where one has to transport an exact
structure E on a category A to a factor category by a relation R. We characterize when this is …

Recollements of triangulated categories may be seen as exact sequences of such
categories. Iterated recollements of triangulated categories are analogues of geometric or …

Tachikawa's second conjecture predicts that a finitely generated, orthogonal module over a
finite-dimensional self-injective algebra is projective. This conjecture is an important part of …

We define torsion pairs for quasi-abelian categories and give several characterisations. We
show that many of the torsion theoretic concepts translate from abelian categories to quasi …

Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors
and in particular through Giraud subcategories. We apply this point in order to develop a …