We consider A to be an artin algebra. We study the degrees of irreducible morphisms between modules in Auslander-Reiten components Gamma having only almost split sequences with at most two indecomposable middle terms, ...

Fahr y Ringel presentan una fórmula de partición para los números de Fibonacci de indice par usando el carcaj de Auslander-Reiten del carcaj 3-Kronecker e introducen el término categorificación para una sucesión de números ...

This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems: 1. How is it possible ...

The theory of representation of partially ordered sets or posets was introduced in the early 1970's as an effort to give an answer to the second Brauer-Thrall conjecture. Recall that one of the main goals of this theory ...

Dynkin functions were introduced by Ringel as a tool to investigate combinatorial properties of hereditary artin algebras. According to Ringel, a Dynkin function consists of four sequences associated to An, Bn, Cn, Dn and ...

Categorification of real valued sequences, and in particular of integer sequences is a novel line of investigation in the theory of representation of algebras. In this theory introduced by Ringel and Fahr, numbers of a ...

En las últimas décadas, el estudio y clasificación de álgebras de dimensión finita con respecto a su tipo de representación ha sido uno de los principales objetivos en la teoría de representaciones de álgebras. Nazarova, ...

The main objective of this work is to study cluster algebras, perfect matchings of a class of particular graphs, and the various relationships that exist between these topics. In order to do this, concepts and results ...