Pamela Suarez

activity

20172025

collaborators

7 papers

math.RT2025

Enlargements of complexes of fixed size

Claudia Chaio, Alfredo Gonzalez Chaio, Pamela Suarez

Let $A$ 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…

math.RA2023

Maurer-Cartan equation for gentle algebras

Monique Müller, María Julia Redondo, Fiorela Rossi Bertone +1

Let $A = k Q / I$ be a finite-dimensional gentle algebra. In this article, under some hypothesis on the quiver $Q$ , we give conditions for nilpotency of the $L_{\infty}$ -structure o…

math.RT2023

A generalization of the nilpotency index of the radical of the module category of an algebra

Claudia Chaio, Pamela Suarez

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 det…

math.RT2021

On cycles of length three

Claudia Chaio, Victoria Guazzelli, Pamela Suarez

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…

math.RT2020

On the nilpotency index of the radical of a module category

Claudia Chaio, Victoria Guazzelli, Pamela Suarez

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 c…

math.RT2018

On the global dimension of the endomorphism algebra of a $τ$ -tilting module

Pamela Suarez

We find a relationship between the global dimension of an algebra $A$ and the global dimension of the endomorphism algebra of a $τ$ -tilting module, when $A$ is of finite global dim…

math.RT2017

$τ$ -tilting modules over one-point extensions by a projective module

Pamela Suarez

Let $A$ be the one point extension of an algebra $B$ by a projective $B$ -module. We prove that the extension of a given support $τ$ -tilting $B$ -module is a support $τ$ -tilting $A$ -…

Enlargements of complexes of fixed size

Maurer-Cartan equation for gentle algebras

A generalization of the nilpotency index of the radical of the module category of an algebra

On cycles of length three

On the nilpotency index of the radical of a module category

On the global dimension of the endomorphism algebra of a τ-tilting module

τ-tilting modules over one-point extensions by a projective module

On the global dimension of the endomorphism algebra of a $τ$ -tilting module

$τ$ -tilting modules over one-point extensions by a projective module