Finitely Presented MV-algebras with Finite Automorphism Group

Stefano Aguzzoli, Vincenzo Marra · Journal of Logic and Computation · 2008

We address the question, which MV-algebras have finite automorphism group. We prove that finitely presented MV-algebras whose maximal spectral space has topological dimension not exceeding 1 do have finite automorphism group. We give examples to show that finite presentability is an essential hypothesis. Our proof produces as an interesting by-product a complete graph–theoretic isomorphism invariant for the class of MV-algebras involved.

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