27 citations · 27 across the 9 of their papers we have counts for
11 papers
Enlargements of complexes of fixed size
Claudia Chaio, Alfredo Gonzalez Chaio, Pamela Suarez
Let be an artin algebra. The aim of this work is to describe the enlargements of an indecomposable complex in $\mathbf{C}_{n}(\mbox{proj} \,A)$, and to study the irreducible mo…
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…
A generalization of the nilpotency index of the radical of the module category of an algebra
Claudia Chaio, Pamela Suarez
Let be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to generalize the results proven in CGS. Precisely, we det…
The Auslander-Reiten quiver of the category of m-periodic complexes
Claudia Chaio, Alfredo González Chaio, Isabel Pratti +1
Let be an additive category and be the category of periodic objects. For any integer , we study conditions under whi…
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…
Degrees of Irreducible Morphisms over Perfect Fields
Claudia Chaio, Patrick Le Meur, Sonia Trepode
The module category of any artin algebra is filtered by the powers of its radical, thus defining an associated graded category. As an extension of the degree of irreducible morphis…
Degrees of irreducible morphisms and finite-representation type
Patrick Le Meur, Claudia Chaio, Sonia Trepode
We study the degree of irreducible morphisms in any Auslander-Reiten component of a finite dimensional algebra over an algebraically closed field. We give a characterization for an…