4 citations · 5 across the 5 of their papers we have counts for
6 papers
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…
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…
On the postprojective partitions and components of the Auslander-Reiten quivers
Danilo D. da Silva, Flavio U. Coelho
In this paper we shall investigate further the connections between the postprojective partition of an algebra and its Auslander-Reiten quiver.
The Representation Dimension of a Class of Tame Algebras
Ibrahim Assem, Flávio U. Coelho, Sonia Trepode
We prove that, if A is a strongly simply connected algebra of polynomial growth, then A is torsionless-finite. In particular, its representation dimension is at most three.