ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD-Reference-Cited by-同舟云学术

ON ORDERS OF M(2, K) OVER A NON-ARCHIMEDEAN LOCAL FIELD

Published:2011-08 Issue:05 Volume:07 Page:1137-1149
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

TU FANG-TING¹

Affiliation:

1. Department of Applied Mathematics, National Chiao Tung University, 1001 Ta Hsueh Road, Hsinchu, Taiwan 30010, R.O.C.

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042111004654

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