The cone and cylinder algebra

Authors :: Rudolf Rupp
Raymond Mortini
Institut Élie Cartan de Lorraine (IECL)
Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS)
Technische Hochschule Nürnberg Georg Simon Ohm (TH Nürnberg)
Source :: Ann. Funct. Anal. 7, no. 1 (2016), 42-60, Annals of Functional Analysis, Annals of Functional Analysis, Mashhad : Tusi Mathematical Research Group, 2016, 7 (1), pp.42-60. ⟨10.1215/20088752-3163513⟩
Publication Year :: 2015
Publisher :: arXiv, 2015.
Abstract: 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 B\'ezout equation and a computation of the stable ranks by elementary methods.<br />Comment: 19 pages, 4 figures

ISSN :: 20088752
Database :: OpenAIRE
Journal :: Ann. Funct. Anal. 7, no. 1 (2016), 42-60, Annals of Functional Analysis, Annals of Functional Analysis, Mashhad : Tusi Mathematical Research Group, 2016, 7 (1), pp.42-60. ⟨10.1215/20088752-3163513⟩
Accession number :: edsair.doi.dedup.....01f2f8391e08b1479ed8c43373d931df
Full Text :: https://doi.org/10.48550/arxiv.1511.04567