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math.AC2026
Christophersen's problem for monomial algebras
Roberto Díaz, Alvaro Liendo
Christophersen's problem predicts that the connected component of the automorphism group of a finite-dimensional local algebra of dimension over an algebraically closed…
math.AC2026
The structure of automorphism groups of zero-dimensional monomial algebras
Roberto Díaz, Giancarlo Lucchini Arteche, Gonzalo Manzano-Flores
Let be a zero-dimensional monomial algebra over an algebraically closed field of characteristic zero, that is, a finite-dimensional quotient of a polynomial ring by a monomial…
math.AC2024
Finite-dimensional monomial algebras are determined by their automorphism group
Roberto Díaz, 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…