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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…
math.AG2024
The Automorphism groups of zero-dimensional monomial algebras
Roberto Díaz, 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…