Stable tame isomorphism, quasi-isomorphism, and derived Morita equivalence are undecidable for semifree noncommutative DGAs.
Dimitroglou Rizell,Nontriviality results for the characteristic algebra of a DGA, Math
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Undecidability problems for semifree DG algebras
Stable tame isomorphism, quasi-isomorphism, and derived Morita equivalence are undecidable for semifree noncommutative DGAs.