• Mortini, Raymond ;
  • Sasane, Amol
  • Received : 2015.01.07
  • Published : 2016.01.31


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.


coherent ring;Hardy algebra;Dirichlet series;Bass stable rank;topological stable rank;Krull dimension;K-theory


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