Abstract top Let A= kQ/I be a finite dimensional basic algebra over an algebraically closed
field k presented by its quiver Q with relations I. A fundamental problem in the representation …

The purpose of this paper is to understand lattices of certain subcategories in module
categories of representation-finite gentle algebras called tiling algebras, as introduced by …

The theory for tilting and cotilting modules has its roots in the representation theory of finite
dimensional algebras (artin algebras) generalizing Morita equivalence and duality. First …

We study the class of algebras A satisfying the property: all but at most finitely many non-
isomorphic indecomposable A-modules are such that all their predecessors have projective …

Given a finite acyclic quiver Q with path algebra Λ, Ingalls and Thomas have exhibited a
bijection between the set of Morita equivalence classes of support-tilting modules and the …

A quiver Q is a finite oriented graph which can contain more than one arrow between two
vertices, as well as loops and oriented cycles. For na positive integer, Q, is the set of …

We study quivers with relations of endomorphism algebras of Auslander-Platzeck-Reiten
tilting modules. It is known that the quivers are given by reflections if the original algebras …

Let $\Lambda $ be a finite-dimensional $ k $-algebra with $ k $ an algebraically closed field
and $\operatorname {ind}\Lambda $ a chosen subcategory of a complete set of …

We investigate the endomorphism rings of tilting sheaves, in particular of tilting bundles, on
a weighted projective line, and describe the structure of their categories of finite dimensional …