José A. Vélez-Marulanda

activity

20192025

collaborators

8 papers

math.RT2025

On universal deformation rings and stable homogeneous tubes

Jhony F. Caranguay-Mainguez, Pedro Rizzo, Jose A. Velez-Marulanda

Let $k$ be a field of any characteristic and let $Λ$ be a finite dimensional $k$ -algebra. We prove that if $V$ is a finite dimensional right $Λ$ -module that lies…

math.RT2024

On Weak Universal Deformation Rings for Objects of EXT-FINITE Categories of Modules

Diego H. Lopez-Garcia, Pedro Rizzo, Jose A. Velez-Marulanda

Let $\A$ be a $\k$-algebra where $\k$ a field of arbitrary characteristic, and let $\mathscr{A}_\k$ be a full subcategory of $\A$-Mod, the abelian category of left $\A$-modules.Fol…

math.RT2024

On universal deformation rings of modules over a certain class of symmetric algebras of finite representation type

Jhony F. Caranguay-Mainguez, Pedro Rizzo, Jose A. Velez-Marulanda

Let $k$ be an algebraically closed field. Recently, K. Erdmann classified the symmetric $k$ -algebras $Λ$ of finite representation type such that every non-project…

math.CT2024

Exact weights and path metrics for triangulated categories and the derived category of persistence modules

Peter Bubenik, Jose A. Velez-Marulanda

We define exact weights on a triangulated category to be nonnegative functions on objects satisfying a subadditivity condition with respect to exact triangles. Such weights induce…

math.RT2024

A short note on deformations of (strongly) Gorenstein-projective modules over the dual numbers

Jose A. Velez-Marulanda, Hector Suarez

Let $k$ be a field of arbitrary characteristic, and let $Λ$ be a finite dimensional $k$ -algebra. In this short note we prove that if $V$ is a finitely generated s…

math.RT2020

On a deformation theory of finite dimensional modules over repetitive algebras

Adriana Fonce-Camacho, Hernán Giraldo, Pedro Rizzo +1

Let $Λ$ be a basic finite dimensional algebra over an algebraically closed field $k$ , and let $Λ$ be the repetitive algebra of $Λ$ . In this article, we prove that…

math.RT2020

On Auslander-Reiten components of string complexes for a certain class of symmetric special biserial algebras

Hernán A. Giraldo, Ricardo Rueda-Robayo, José A. Vélez-Marulanda

Let $k$ be an algebraically closed field. In this article, inspired by the description of indecomposable objects in the derived category of a gentle algebra obtained by V.…

math.RT2019

On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras

Yohny Calderón-Henao, Hernán Giraldo, José A. Vélez-Marulanda

Let $k$ be an algebraically closed field, let $Λ$ be a finite dimensional $k$ -algebra, and let $Λ$ be the repetitive algebra of $Λ$ . For the stable catego…