The bass and topological stable ranks for algebras of almost periodic functions on the real line, II

Mortini, Raymond and Sasane, Amol (2018) The bass and topological stable ranks for algebras of almost periodic functions on the real line, II. British Journal of Mathematical and Statistical Psychology. ISSN 0007-1102 (In Press)

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Abstract

Let Λ be either a subgroup of the integers Z, a semigroup in N, or Λ = Q, respectively Q+. We determine the Bass and topological stable ranks of the algebras APΛ = {ƒ ∈ AP : σ (ƒ) ⊆ Λ} of almost periodic functions on the real line and with Bohr spectrum in Λ. This answers a question in the first part of this series of papers under the same heading, where it was shown that, in contrast to the present situation, these ranks were infinite for each semigroup Λ of real numbers for which the Q-vector space generated by Λ had infinite dimension.

Item Type:	Article
Official URL:	https://onlinelibrary.wiley.com/journal/20448317
Additional Information:	© 2019 The British Psychological Society
Divisions:	Mathematics
Subjects:	Q Science > QA Mathematics
Sets:	Departments > Mathematics
Date Deposited:	03 Jan 2019 15:31
Last Modified:	24 Feb 2019 00:07
URI:	http://eprints.lse.ac.uk/id/eprint/91488

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