Determines the automorphism groups of zero-dimensional monomial algebras via explicit classification of homogeneous locally nilpotent derivations, extending to semigroup algebras.
On the A utomorphism G roup of N on- N ecessarily N ormal A ffine T oric V arieties
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Finite-dimensional monomial algebras are characterized by their automorphism group among finite-dimensional local algebras with fixed cotangent space dimension.
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The Automorphism groups of zero-dimensional monomial algebras
Determines the automorphism groups of zero-dimensional monomial algebras via explicit classification of homogeneous locally nilpotent derivations, extending to semigroup algebras.
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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.