Some curiosities of the algebra of bounded Dirichlet series
classification
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math.ACmath.KTmath.NT
keywords
algebraboundeddirichletinfiniteseriesrankstablebass
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It is shown that the algebra 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 the algebra of bounded Dirichlet series has infinite topological stable rank and infinite Krull dimension.
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