Some curiosities of the algebra of bounded Dirichlet series

Mortini, Raymond; and Sasane, AmolORCID logo (2016) Some curiosities of the algebra of bounded Dirichlet series. Bulletin of the Korean Mathematical Society, 53 (1). pp. 153-161. ISSN 1015-8634
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It is shown that the algebra H∞ 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 H∞ has infinite topological stable rank and infinite Krull dimension.


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