5 papers
Gröbner bases for mesh relations and applications to compositions of irreducible morphisms
Viktor Chust, Flávio U. Coelho
We give a necessary condition for the existence of a path of n irreducible morphisms between indecomposable modules whose composition lies in the (n + 1)-power of the radical. In o…
Mesh-comparable components of the Auslander-Reiten quiver
Viktor Chust, Flávio U. Coelho
The idea of using Riedtmann's well-behaved functors to study compositions of irreducible morphisms has been explored in a number of articles. Here we introduce the concept of mesh-…
Leaps in the depth of compositions of irreducible morphisms
Viktor Chust, Flávio U. Coelho
In this article, we give a family of examples of algebras, showing that for every and , there is an algebra displaying a path of n irreducible morphisms betwee…
On Riedtmann's well-behaved functors and applications to composites of irreducible morphisms
Viktor Chust, Flávio U. Coelho
In this survey, we summarize some results in the literature involving the mesh category, which is a combinatorial representation of the category of modules over a finite-dimensiona…
A note on the representation type of generalized path algebras
Viktor Chust, Flávio U. Coelho
In (Ibáñez-Cobos et al., 2008), the authors describe the ordinary quiver of a given generalized path algebra, a concept introduced by Coelho and Liu in (Coelho, Liu, 2000). In th…