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18. On sub-division rings


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      Problem 18.1.

      [James Zhang] Let $D = Q(A)$ where $A$ is a finitely generated $k$-algebra which is a domain of GK dimension 2. Let $D' \subseteq D$ be a sub-division ring. Does there exist $A'$ of finite GK dimension (preferably GK 2) such that $D' = Q(A')$?

          Cite this as: AimPL: Noncommutative surfaces and Artin's conjecture, available at http://aimpl.org/ncsurfaceartin.