SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES

Mortini, Raymond; Sasane, Amol

doi:10.4134/BKMS.2016.53.1.153

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SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES

Journal title : Bulletin of the Korean Mathematical Society
Volume 53, Issue 1, 2016, pp.153-161
Publisher : The Korean Mathematical Society
DOI : 10.4134/BKMS.2016.53.1.153

Title & Authors

SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES
Mortini, Raymond; Sasane, Amol;

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;

Language

English

Cited by

References

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