scholarly journals Rationality of Darmon points over genus fields of non-maximal orders

2019 ◽  
Vol 44 (1) ◽  
pp. 173-195 ◽  
Author(s):  
Matteo Longo ◽  
Kimball Martin ◽  
Yan Hu
Keyword(s):  
Maximal Orders

scholarly journals Maximal orders in Artinian rings

1984 ◽  
Vol 90 (2) ◽  
pp. 375-384 ◽  
Author(s):  
C.R. Hajarnavis ◽  
S. Williams
Keyword(s):  
Artinian Rings ◽  
Maximal Orders

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

2011 ◽  
Vol 07 (05) ◽  
pp. 1137-1149 ◽  
Author(s):  
FANG-TING TU
Keyword(s):  
Local Field ◽  
Complete Classification ◽  
Maximal Orders

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.

On Semihereditary Maximal Orders

1998 ◽  
Vol 30 (3) ◽  
pp. 251-257 ◽  
Author(s):  
John S. Kauta
Keyword(s):  
Maximal Orders
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