Zobrazeno 1 - 10
of 110
pro vyhledávání: '"Chaio, Claudia"'
We consider $\Lambda$ an artin algebra and $n \geq 2$. We study how to compute the left and right degrees of irreducible morphisms between complexes in a generalized standard Auslander-Reiten component of ${\mathbf{C_n}({\rm proj}\, \Lambda)}$ with l
Externí odkaz:
http://arxiv.org/abs/2409.08758
Autor:
Chaio, Claudia, Suarez, Pamela
Let $A$ 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 determine which vertices of $Q_A$ are sufficient to be considered in orde
Externí odkaz:
http://arxiv.org/abs/2308.12824
Let $\mathcal{A}$ be an additive $k-$category and $\mathbf{C}_{\equiv m}(\mathcal{A})$ be the category of $m-$periodic objects. For any integer $m>1$, we study conditions under which the compression functor ${\mathcal F}_m :\mathbf{C}^{b}(\mathcal{A}
Externí odkaz:
http://arxiv.org/abs/2304.04844
Publikováno v:
In Journal of Pure and Applied Algebra May 2024 228(5)
We prove that if $A$ is a string algebra then there are not three irreducible morphisms between indecomposable $A$-modules such that its composition belongs to $\Re^{6} \backslash \Re^{7}$, whenever the compositions of two of them are not in $\Re^{3}
Externí odkaz:
http://arxiv.org/abs/2102.08216
Autor:
Chaio, Claudia, Guazzelli, Victoria
We determine the minimal lower bound $n$, with $n \geq 1$, where the $n$-th power of the radical of the module category of a representation-finite cluster tilted algebra vanishes. We give such a bound in terms of the number of vertices of the underli
Externí odkaz:
http://arxiv.org/abs/2006.12684
Let $A$ be a finite dimensional representation-finite algebra over an algebraically closed field. The aim of this work is to determine which vertices of $Q_A$ are suficient to be consider in order to compute the nilpotency index of the radical of the
Externí odkaz:
http://arxiv.org/abs/2003.04189
Publikováno v:
In Journal of Algebra 15 October 2023 632:724-750
Autor:
Chaio, Claudia, Guazzelli, Victoria
Given a finite dimensional algebra $A$ over an algebraically closed field we study the relationship between the powers of the radical of a morphism in the module category of the algebra $A$ and the induced morphism in the module category of the endom
Externí odkaz:
http://arxiv.org/abs/1809.06760
In this work, we prove that if a triangular algebra $A$ admits a strongly simply connected universal Galois covering for a given presentation then the fundamental group associated to this presentation is free.
Comment: 19 pages
Comment: 19 pages
Externí odkaz:
http://arxiv.org/abs/1803.00901