This paper is concerned with the omnipresence of the formation of the subcategories right
(left) perpendicular to a subcategory of objects in an abelian category. We encounter these …

Let A be an artin algebra, mod A the category of finitely generated right A-modules, rad (mod
A) the infinite radical of mod A, and I'A the Auslander-Reiten quiver of A. It is well-known …

It was shown by Brenner-Butler and Happel-Ringel that there exists a close connection
between the representation theories of the algebras A and B= End T,. This connection is …

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 …

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 …

Algebras with separating Auslander-Reiten components Page 265 Algebras with separating
Auslander-Reiten components Piotr Malicki and Andrzej Skowroński* Dedicated to Idun Reiten …

Let A= k Δ be the path algebra of a finite, connected quiver Δ without oriented cycles over a
field k. Let n be the number of vertices of Δ. An A-module Z is called a Schur module if its …

This is a report on advances in the representation theory of finite dimensional algebras in
the years 1984–1990. During these years, the German research council (DFG) has …

Throughout the paper K will denote a fixed algebraically closed field. By an algebra we
mean a basic connected finite dimension K-algebra Ž. associative with an identity, by mod A …

If A is a finite dimensional, connected, hereditary wild k-algebra, k algebraically closed and T
a tilting module without preinjective direct summands, then the preprojective component P of …