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 …

Giraldo and Merklen classified the irreducible morphisms in the bounded derived categories
of finite dimensional algebras in three classes. The Auslander-Reiten triangles in these …

We characterize the tilted algebras of the form kQ/I where the underlying graph of Q is Dn. 1.
Introduction. Let k be an algebraically closed field. By an algebra, we mean a finite …

Lattice structure of torsion classes for path algebras | Bulletin of the London Mathematical
Society | Oxford Academic Skip to Main Content Advertisement Oxford Academic Journals …

Abstract D. Happel and L. Unger defined a partial order on the set of basic tilting modules.
We study the poset of basic pre-projective tilting modules over path algebra of infinite type …

Let $ A $ be a connected finite dimensional $ k $-algebra, and let $ M $ be a nonzero
decomposable $ A $-module such that the one-point extension $ A [M] $ is quasitilted. We …

The aim of this paper is to introduce τ-tilting theory, which 'completes'(classical) tilting theory
from the viewpoint of mutation. It is well known in tilting theory that an almost complete tilting …

Let k be an algebraically closed field. A finite dimensional k-algebra A is quasitilted if there is
a hereditary abelian k-category H such that A= EndH (T) for a tilting object T in H, see [8] for …

It is reasonable to expect that the representation theory of an algebra (finite dimensional
over a field, basic and connected) can be used to study its homological properties. In …