{"paper":{"title":"The Bass and topological stable ranks of the Bohl algebra are infinite","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.FA","math.KT"],"primary_cat":"math.RA","authors_text":"Amol Sasane, Raymond Mortini, Rudolf Rupp","submitted_at":"2014-07-03T11:38:27Z","abstract_excerpt":"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 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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0871","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}