Finite-dimensional monomial algebras are characterized by their automorphism group among finite-dimensional local algebras with fixed cotangent space dimension.
Characterization of affine surfaces with a torus action by their automorphism groups
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Finite-dimensional monomial algebras are determined by their automorphism group
Finite-dimensional monomial algebras are characterized by their automorphism group among finite-dimensional local algebras with fixed cotangent space dimension.