Daniel López-Aguayo

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

Showing 2015Show all

3 papers · 1 filter

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 $S (n, r) := \sum_{k = 0}^{n} (k n) \frac{k}{k + r}$ is not an integer for any positive integer $n$ and $r \in {1, 2, 3, 4, 5, 6}$ and for $n \leq r - 1$ . 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 $E$ over a field $F$ , such t…