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SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES
Mortini, Raymond,Sasane, Amol Korean Mathematical Society 2016 대한수학회보 Vol.53 No.1
It is shown that the algebra $\mathfrak{H}^{\infty}$ of bounded Dirichlet series is not a coherent ring, and has infinite Bass stable rank. As corollaries of the latter result, it is derived that $\mathfrak{H}^{\infty}$ has infinite topological stable rank and infinite Krull dimension.
Some curiosities of the algebra of bounded Dirichlet series
Raymond Mortini,Amol Sasane 대한수학회 2016 대한수학회보 Vol.53 No.1
It is shown that the algebra $\sH$ of bounded Dirichlet series is not a coherent ring, and has infinite Bass stable rank. As corollaries of the latter result, it is derived that $\sH$ has infinite topological stable rank and infinite Krull dimension.