Title: ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD
Authors: Tu, Fang-Ting
應用數學系
Department of Applied Mathematics
Keywords: Orders in quaternion algebra
Issue Date: 1-Aug-2011
Abstract: 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
Journal: INTERNATIONAL JOURNAL OF NUMBER THEORY
Volume: 7
Issue: 5
Begin Page: 1137
End Page: 1149
Appears in Collections:Articles