Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2015.01.07
  • Published : 2016.01.31
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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.

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References

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