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The Bohl algebra $\textrm{B}$ is the ring of linear combinations of functions$t^k e^{\lambda t}$, where $k$ is any nonnegative integer, and $\lambda$ is anycomplex number, with pointwise operations. We show that the Bass stable rankand the topological stable rank of $\textrm{B}$ (where we use the topology ofuniform convergence) are infinite.

The Bass and topological stable ranks of the Bohl algebra are infinite