Tilting procedures are a well-known instrument in order to construct from a given finite
dimensional algebra A new algebras with related representation theory (compare [4],[7],[3]); …

A), where TA is a tilting module, with A a finite dimensional hereditary algebra, are called the
tilted algebras. The main interest in tilted algebras comes from the fact that any finite …

Let A=/cA be the path algebra of a finite, connected quiver A without oriented cycles. Here k
denotes an algebraically closed field. We denote the category of finite-dimensional A-left …

Let k be an algebraically closed field. By algebra A, we mean a finite dimensional
associative k-algebra, which we assume moreover to be basic and connected. For such an …

For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we
consider the quiver \mathcalK\!_Λ of tilting modules and the subquivers of \mathcalK\!_Λ …

The perpendicular category of a partial tilting module is studied, in particular that of a regular
module over a hereditary algebra preferably of wild representation type. The results are …

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 …

Let k be an algebraically closed field and H a connected abelian k-category which is
hereditary, that is Ext 2 (,) vanishes on H. Assume also that Hom (X, Y) and Ext1 (X, Y) are …

We show here that a directing component of the Auslander-Reiten quiver of a quasitilted
algebra is either postprojective or preinjective or a connecting component. Tilting theory …

Let A be a basic connected finite-dimensional algebra over an algebraically closed field. We
show that if A has all its indecomposable projectives (or injectives) lying in a component of …