SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES
Mortini, Raymond (Universite de Lorraine Departement de Mathematiques et Institut Elie Cartan de Lorraine) ;
Sasane, Amol (Department of Mathematics London School of Economics)
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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