Pamela Suarez

activity

20172021

collaborators

4 papers

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 $A$ -…

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