Gabriel Enrique Moliné Sosa

activity

20162020

collaborators

4 papers

math.AC2020

Multi-Rees Algebras of Strongly Stable Ideals

Selvi Kara, Kuei-Nuan Lin, Gabriel Sosa

We prove that the multi-Rees algebra $R (I_{1} \oplus \dots \oplus I_{r})$ of a collection of strongly stable ideals $I_{1}, \dots, I_{r}$ is of fiber type. In particular, we pr…

math.AC2018

Multi-Rees Algebras and Toric Dynamical Systems

David A. Cox, Kuei-Nuan Lin, Gabriel Sosa

This paper explores the relation between multi-Rees algebras and ideals that arise in the study of toric dynamical systems from the theory of chemical reaction networks.

math.AC2017

The Rees algebra of a two-Borel ideal is Koszul

Michael DiPasquale, Christopher A. Francisco, Jeffrey Mermin +2

Let $M$ and $N$ be two monomials of the same degree, and let $I$ be the smallest Borel ideal containing $M$ and $N$ . We show that the toric ring of $I$ is Koszul by constructing a…

math.AC2016

Detecting Koszulness and related homological properties from the algebra structure of Koszul homology

Amanda Croll, Roger Dellaca, Anjan Gupta +6

Let $k$ be a field and $R$ a standard graded $k$ -algebra. We denote by $H^{R}$ the homology algebra of the Koszul complex on a minimal set of generators of the irrelev…