Minimal systems of generators for central division algebra and semi-simple algebra  

作　　者：QIU Qizhang 1 and SUN Ling 2 1. Department of Mathematics, Wuhan University, Wuhan 430072, China 2. Department of Information science, Wuhan University, Wuhan 430072, China. 

出　　处：《Chinese Science Bulletin》1998年第21期1777-1780,共4页

摘　　要：Suppose that F is a field of characteristic zero and (ⅰ) D is a finite-dimensional central division algabra over F; (ⅱ) A is a finite-dimensional semi-simple algabra over F. It is proved that as F-algebras, D and A can be generated by two elements respectively.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.

关 键 词：CENTRAL DIVISION ALGEBRA semi-simple ALGEBRA generator MINIMAL system of generators. 

分 类 号：O153[理学—数学]