The cone and cylinder algebra
Raymond Mortini, Rudolf Rupp
TL;DR
This paper provides detailed proofs of algebraic properties of the cone and cylinder algebras, including maximal ideals, Bézout equation solutions, and stable ranks, using elementary methods.
Contribution
It offers new, detailed proofs of key algebraic properties of the cone and cylinder algebras, enhancing understanding of their structure.
Findings
Determination of maximal ideals in the cone and cylinder algebras
Solution of the Bézout equation for these algebras
Computation of their stable ranks using elementary methods
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.
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