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

Mortini, Raymond, Rupp, Rudolf and Sasane, Amol ORCID: 0000-0001-5566-9877 (2016) The bass and topological stable ranks of the Bohl algebra are infinite. Acta Applicandae Mathematicae, 142 (1). pp. 81-90. ISSN 0167-8019

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Identification Number: 10.1007/s10440-015-0015-4

Abstract

The Bohl algebra B is the ring of linear combinations of functions t k e λt on the real line, 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 B (where we use the topology of uniform convergence) are infinite.

Item Type: Article
Official URL: http://link.springer.com/journal/10440
Additional Information: © 2015 Springer
Divisions: Mathematics
Subjects: Q Science > QA Mathematics
Date Deposited: 17 Apr 2015 11:50
Last Modified: 12 Dec 2024 01:03
URI: http://eprints.lse.ac.uk/id/eprint/61621

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