SOME CURIOSITIES OF THE ALGEBRA OF BOUNDED DIRICHLET SERIES

Raymond Mortini, Amol Sasane
2016 Bulletin of the Korean Mathematical Society  
Original citation: Mortini, Raymond and Sasane, Amol (2016) Some curiosities of the algebra of bounded Dirichlet series. Abstract. 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. 1991 Mathematics Subject Classification. Primary 11M41; Secondary 30H05, 13E99.
doi:10.4134/bkms.2016.53.1.153 fatcat:rvydparxozfmrfftexvbdwvjae