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.
"The cone and cylinder algebras." Ann. Funct. Anal. 7 (1) 42 - 60, February 2016. https://doi.org/10.1215/20088752-3163513