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http://dx.doi.org/10.4134/BKMS.2016.53.1.153

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.1, 2016 , pp. 153-161 More about this Journal
Abstract
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.
Keywords
coherent ring; Hardy algebra; Dirichlet series; Bass stable rank; topological stable rank; Krull dimension; K-theory;
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