The Auslander-Reiten quiver of a finite-dimensional associative algebra $ A $ encodes
information about the indecomposable finite-dimensional representations of $ A $ and their …

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 …

Let r be a finite nonempty modulated translation qpiver (as defined in [IT2]). Then we show
that r is the Auslander-Reiten quiver of an artin algebra of finite representation type if and …

Let A be a finite dimensional algebra over an algebraically closed field k. Suppose that the
Auslander-Reiten quiver r of A is finite and contains no oriented cycles, Let S be a simple A …

Let II be an indecomposable artin algebra of finite representation type, R the center of A, k=
R/rad R. Let r,, be the associated Auslander-Reiten quiver. Then r,, is finite k-modulated …

This article begins the study of irreducible maps involving finite-dimensional uniserial
modules over finite-dimensional associative algebras. We work on the classification of …

Let k be an algebraically closed field and A be a basic finite-dimensional kalgebra of the
form A= kQ/I, where Q is a quiver (= finite oriented graph) and/is an admissible ideal of the …

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 mod A the category of finitely generated left A-modules.
Denote by rad (mod A) the Jacobson radical of mod A and by rad*(mod A) the infinite radical …

Let R be a complete Dedekind domain with quotient field K, and let A be an. R-order in the
separable^-algebra A= KA. In this paper we discuss an algorithm for the computation of the …