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February 2016 The cone and cylinder algebras
Raymond Mortini, Rudolf Rupp
Ann. Funct. Anal. 7(1): 42-60 (February 2016). DOI: 10.1215/20088752-3163513


In this exposition-type note we present detailed proofs of certain assertions concerning several algebraic properties of the cone and cylinder algebras. These include a determination of the maximal ideals, the solution of the Bézout equation, and a computation of the stable ranks by elementary methods.


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Raymond Mortini. Rudolf Rupp. "The cone and cylinder algebras." Ann. Funct. Anal. 7 (1) 42 - 60, February 2016.


Received: 4 December 2014; Accepted: 13 May 2015; Published: February 2016
First available in Project Euclid: 6 November 2015

zbMATH: 1344.46037
MathSciNet: MR3449339
Digital Object Identifier: 10.1215/20088752-3163513

Primary: 46J10
Secondary: 30H50 , ‎46J15 , 46J20

Keywords: Bézout equation , cone algebra , cylinder algebra , maximal ideals , stable ranks

Rights: Copyright © 2016 Tusi Mathematical Research Group

Vol.7 • No. 1 • February 2016
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