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-Aug-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
Appears in Collections:Articles