  Motivated by Weyl algebra analogues of the Jacobian conjecture and the Tame
Generators problem, we prove quantum versions of these problems for a family of
analogues to the Weyl algebras. In particular, our results cover the
Weyl-Hayashi algebras and tensor powers of a quantization of the first Weyl
algebra which arises as a primitive factor algebra of $U_q^+(\mathfrak{so}_5)$.

Quantum Algebra;Rings and Algebras