José A. Vélez-Marulanda

activity

20082021

most citedUniversal deformation rings of modules over Frobenius algebras

26 citations · 44 across the 11 of their papers we have counts for

collaborators

14 papers

math.RT2021

Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings

Jose A. Velez-Marulanda

Let $k$ be a field of arbitrary characteristic, let $Λ$ be a finite dimensional $k$ -algebra, and let $V$ be an indecomposable finitely generated non-projective Go…

math.RT2019

Derived tame Nakayama algebras

Viktor Bekkert, Hernan Giraldo, Jose A. Velez-Marulanda

We determine the derived representation type of Nakayama algebras and prove that a derived tame Nakayama algebra without simple projective module is gentle or derived equivalent to…

math.RT2017

On Deformations of Gorenstein-projective modules over Nakayama and triangular matrix algebras

Jose A. Velez-Marulanda

Let $k$ be a fixed field of arbitrary characteristic, and let $Λ$ be a finite dimensional $k$ -algebra. Assume that $V$ is a left $Λ$ -module of finite dimension ov…

math.RT2017

On Deformations of Gorenstein-Projective Modules over Monomial Algebras with no Overlaps

Jose A. Velez-Marulanda

Let $k$ be a field of arbitrary characteristic, let $Λ$ be a finite dimensional $k$ -algebra, and let $V$ be an indecomposable Gorenstein-projective $Λ$ -module wit…

math.RT2017

Universal Deformation Rings of Finitely Generated Gorenstein-Projective Modules over Finite Dimensional Algebras

Viktor Bekkert, Hernan Giraldo, Jose Velez-Marulanda

Let $k$ be a field of arbitrary characteristic, let $Λ$ be a finite dimensional $k$ -algebra, and let $V$ be a finitely generated $Λ$ -module. F. M. Bleher and the…

math.RT2017

Universal Deformation Rings for Complexes over Finite-Dimensional Algebras

Jose A. Velez-Marulanda

Let $k$ be field of arbitrary characteristic and let $Λ$ be a finite dimensional $k$ -algebra. From results previously obtained by F.M Bleher and the author, it fo…

math.RT2016

On Singular Equivalences of Morita Type and Universal Deformation Rings for Gorenstein Algebras

Viktor Bekkert, Hernan Giraldo, Jose A. Velez-Marulanda

Let $Λ$ be a finite-dimensional algebra over a fixed algebraically closed field $k$ of arbitrary characteristic, and let $V$ be a finitely generated $Λ$ -module. It follows…

math.RT2016

Universal deformation rings for a class of self-injective special biserial algebras

Johny Calderon-Henao, Hernan Giraldo, Ricardo Rueda-Robayo +1

Let $k$ be an algebraically closed field of arbitrary characteristic, let $Λ$ be a finite dimensional $k$ -algebra and let $V$ be a $Λ$ -module with stable endomorp…

math.RT2016★ 2 cited

On Universal Deformation Rings for Gorenstein Algebras

Jose A. Velez-Marulanda

Let $k$ be an algebraically closed field, and let $Λ$ be a finite dimensional $k$ -algebra. We prove that if $Λ$ is a Gorenstein algebra, then every finitely gener…

math.RT2015★ 14 cited

Deformations of complexes for finite dimensional algebras

Frauke M. Bleher, Jose A. Velez-Marulanda

Let $k$ be a field and let $Λ$ be a finite dimensional $k$ -algebra. We prove that every bounded complex $V^{∙}$ of finitely generated $Λ$ -modules has a well-defined versal defo…

math.NT2014

On the Infinitude of Prime Ideals in Dedekind Domains

Jose A. Velez-Marulanda

Let $R$ be an infinite Dedekind domain with at most finitely many units, and let $K$ denote its field of fractions. We prove the following statement. If $L / K$ is a finite Galois ex…

math.RT2012

Universal deformation rings of string modules over a certain symmetric special biserial algebra

Jose A. Velez-Marulanda

Let $\k$ be an algebraically closed field, let $\A$ be a finite dimensional $\k$-algebra and let $V$ be a $\A$-module with stable endomorphism ring isomorphic to $\k$. If $\A$ is s…

math.RT2009★ 26 cited

Universal deformation rings of modules over Frobenius algebras

Frauke M. Bleher, Jose A. Velez-Marulanda

Let $k$ be a field, and let $Λ$ be a finite dimensional $k$ -algebra. We prove that if $Λ$ is a self-injective algebra, then every finitely generated $Λ$ -module $V$ whose stable end…

math.AC2008★ 2 cited

Some Divisibility Properties in Ring of Polynomials over a Unique Factorization Domain

Luis F. Caceres, Jose A. Velez-Marulanda

Using polynomial evaluation, we give some useful criteria to answer questions about divisibility of polynomials. This allows us to develop interesting results concerning the prime…