We introduce the class of double tilted algebras, containing the class of tilted algebras and
prove various characterizations. In particular, we show that the class of double tilted …

Let R be a ring (associative, with 1). A non-zero module M is said to be a Prüfer module
provided there exists a surjective, locally nilpotent endomorphism with kernel of finite length …

The aim of these notes is to report some new developments on the problem of describing all
possible shapes of the connected components of the Auslander-Reiten quiver ΓA of an artin …

Let A be an artin algebra and T a splitting tilting module in mod A, the category of fintely
generated left A-modules. If we let B= End,(T) and denote by mod B the category of finitely …

In this paper we study the finitely generated indecomposable modules over an arbitrary
extension over an Artinian ring with self-(Morita) duality. Let A be an Artinian ring with self …

Let A be an artin algebra, for example a finite dimensional algebra over a field k and C an
indecomposable nonprojective finitely generated left A-module. Then there is an exact …

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

We will only assume some basic knowledge in module theory and category theory. In
particular, we will use the following notions that can be found in any textbook on modules or …

The representation theory of artin algebras, as we understand it to-day, is a relatively new
area of mathematics, as most of the main developments have occurred since the late sixties …

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 …