4 citations · 5 across the 7 of their papers we have counts for
8 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 this…
Homological invariants of generalized bound path algebras
Viktor Chust, Flávio U. Coelho
We study some homological invariants of a given generalized bound path algebra in terms of those of the algebras used in its construction. We discuss the particular case where the…
On the correspondence between path algebras and generalized path algebras
Viktor Chust, Flávio U. Coelho
The concept of generalized path algebras was introduced in (Coelho and Liu, 2000). It was shown in (Ibáñez Cobos et al., 2008) how to obtain the Gabriel quiver of a given generaliz…
Representations of generalized bound path algebras
Viktor Chust, Flávio U. Coelho
The concept of generalized path algebras was introduced in (Coelho, Liu, 2000). Roughly speaking, these algebras are constructed in a similar way to that of the path algebras over…