Let A be a finite dimensional k-algebra over an algebraically closed field. Assume A=kQ/I where Q is a quiver without oriented cycles. We say that A is tilt-critical if it is not tilted but every proper convex subcategory ...

In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen ...

We prove that the representation dimension of a tilted, or of a strict laura algebra, is at most three.

We discuss the existence of tilting modules which are direct limits of finitely generated tilting modules over tilted algebras.

In this paper, we present some results on the bounded derived category of Artin algebras, and in particular on the indecomposable objects in these categories, using homological properties. Given a complex X*, we consider ...

We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval ...

In this paper we discuss, in terms of quiver with relations,sufficient and necessary conditions for an algebra to be a quasitiltedalgebra. We start with an algebra with global dimension at most twoand we give a sufficient ...