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Minimal systems of generators for central division algebra and semi-simple algebra |
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| Authors: | Qizhang Qiu Ling Sun |
| Institution: | (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. |
| Keywords: | central division algebra semi-simple algebra generator minimal system of generators |
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