3 papers
math.AC2026
Finite-dimensional monomial algebras are determined by their automorphism group
Roberto DÃaz, Giancarlo Lucchini Arteche
A monomial algebra is the quotient of a polynomial algebra by an ideal generated by monomials. We prove that finite-dimensional monomial algebras are characterized by their automor…
math.AG2026
The Automorphism groups of zero-dimensional monomial algebras
Roberto DÃaz, Alvaro Liendo, Gonzalo Manzano-Flores +1
A monomial algebra B is defined as a quotient of a polynomial ring by a monomial ideal, which is an ideal generated by a finite set of monomials. In this paper, we determine the au…
math.CO2025
Spectral properties of the deformed Laplacian matrix of trees and H-join graphs
Roberto C. DÃaz, Elismar R. Oliveira, Vilmar Trevisan
This paper investigates spectral properties of the deformed Laplacian matrix, which merges the Laplacian and signless Laplacian matrices of a graph through a one-parameter family o…