標題: | ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD |
作者: | Tu, Fang-Ting 應用數學系 Department of Applied Mathematics |
關鍵字: | Orders in quaternion algebra |
公開日期: | 1-八月-2011 |
摘要: | Let K be a non-Archimedean local field. In this paper, we first show that if an order in M(2, K) is the intersection of (finitely many) maximal orders in M(2, K), then it is the intersection of at most three maximal orders. Using this result, we obtain a complete classification of orders in M(2, K) that are intersections of maximal orders. |
URI: | http://dx.doi.org/10.1142/S1793042111004654 http://hdl.handle.net/11536/20571 |
ISSN: | 1793-0421 |
DOI: | 10.1142/S1793042111004654 |
期刊: | INTERNATIONAL JOURNAL OF NUMBER THEORY |
Volume: | 7 |
Issue: | 5 |
起始頁: | 1137 |
結束頁: | 1149 |
顯示於類別: | 期刊論文 |