6 papers · 1 filter
On the degree in categories of complexes of fixed size
Claudia Chaio, Isabel Pratti, Maria Jose Souto
We consider an artin algebra and . We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-R…
On cycles of length three
Claudia Chaio, Victoria Guazzelli, Pamela Suarez
We prove that if is a string algebra then there are not three irreducible morphisms between indecomposable -modules such that its composition belongs to $\Re^{6} \backslash…
On the radical of Cluster tilted algebras
Claudia Chaio, Victoria Guazzelli
We determine the minimal lower bound , with , where the -th power of the radical of the module category of a representation-finite cluster tilted algebra vanishes.…
On the nilpotency index of the radical of a module category
Claudia Chaio, Victoria Guazzelli, Pamela Suarez
Let be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to determine which vertices of are suficient to be c…
On the radical of the module category of an endomorphism algebra
Claudia Chaio, Victoria Guazzelli
Given a finite dimensional algebra over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the al…
The fundamental group of an algebra with strongly simply connected Galois covering
Claudia Chaio, Diane Castonguay, Sonia Trepode
In this work, we prove that if a triangular algebra admits a strongly simply connected universal Galois covering for a given presentation then the fundamental group associated…