(1) Department of Mathematics, Wuhan University, 430072 Wuhan, China;(2) Department of Information science, Wuhan University, 430072 Wuhan, China
Abstract:
Suppose thatF is a field of characteristic zero and (i)D is a finite-dimensional central division algabra overF; (ii)A is a finite-dimensional semi-simple algabra overF. It is proved that asF-algebras,D andA can be generated by two elements respectively.