The Bass and topological stable ranks of the Bohl algebra are infinite (Q267117)

The complex algebra generated by functions of the form \(t^ke^{\lambda t}\), where \(k\) is a nonnegative integer and \(\lambda\in \mathbb{C}\), is called the Bohl algebra by the authors. It is proved that the Bass and topological stable ranks of this algebra, endowed with the topology of uniform convergence, are both infinite. Results from an earlier paper [Trans. Am. Math. Soc. 368, No. 5, 3059--3073 (2016; Zbl 1347.46037)] of the first two authors are used.