arXiv · 1407.0871
The Bass and topological stable ranks of the Bohl algebra are infinite
Abstract
The Bohl algebra $\textrm{B}$ is the ring of linear combinations of functions $t^k e^{λt}$, where $k$ is any nonnegative integer, and $λ$ is any complex number, with pointwise operations. We show that the Bass stable rank and the topological stable rank of $\textrm{B}$ (where we use the topology of uniform convergence) are infinite.
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Raymond Mortini, Rudolf Rupp, Amol Sasane. 2014-07-03. The Bass and topological stable ranks of the Bohl algebra are infinite. https://arxiv.org/abs/1407.0871
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