SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES

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

Abstract
It is shown that the algebra $\small{\mathfrak{H}^{\infty}}$ 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 $\small{\mathfrak{H}^{\infty}}$ 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
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