activity
20152019
most citedSylvester's Theorem and the Non-integrality of a certain Binomial Sum

4 citations · 5 across the 4 of their papers we have counts for

collaborators

8 papers

math.NT2019

Progress towards a nonintegrality conjecture

Shanta Laishram, Daniel López-Aguayo, Carl Pomerance +1

Given , define the function by . In , the secon…

math.RT2018

Cyclic derivations, species realizations and potentials

Daniel López-Aguayo

In this survey paper we give an overview of a generalization, introduced by R. Bautista and the author, of the theory of mutation of quivers with potential developed in 2007 by Der…

math.GR2017

Antiautomorphisms and biantiautomorphisms of some finite abelian groups

Daniel López-Aguayo, Servando López-Aguayo

We extend the concepts of antimorphism and antiautomorphism of the additive group of integers modulo , given by Gaitanas Konstantinos, to abelian groups. We give a lower bound f…

math.RA2017

A note on species realizations and nondegeneracy of potentials

Daniel López-Aguayo

In this note we show that a mutation theory of species with potential can be defined so that a certain class of skew-symmetrizable integer matrices have a species realization admit…

math.RA2016★ 1 cited

Tensor algebras and decorated representations

Raymundo Bautista, Daniel López-Aguayo

In arXiv:1506.05880 we gave a generalization of the theory of quivers with potentials introduced by Derksen-Weyman-Zelevinsky, via completed tensor algebras over -bimodules wher…

math.RA2015

Ziegler Spectrum and Krull Gabriel Dimension

Daniel López-Aguayo

These notes are based on a talk given at the Summer School "Infinite-dimensional representations of finite-dimensional algebras" held at the University of Manchester in September 2…

math.NT2015★ 4 cited

Sylvester's Theorem and the Non-integrality of a certain Binomial Sum

Daniel López-Aguayo, Florian Luca

In this note, we show that is not an integer for any positive integer and and for . This giv…

math.RT2015

Potentials for some tensor algebras

Raymundo Bautista, Daniel López-Aguayo

This paper generalizes former works of Derksen, Weyman and Zelevinsky about quivers with potentials. We consider semisimple finite-dimensional algebras over a field , such t…