The Security of Cryptosystems Based on Class Semigroups of Imaginary Quadratic Non-maximal Orders

2004 ◽  
pp. 149-156 ◽  
Author(s):  
Michael J. Jacobson
Keyword(s):  
Maximal Orders ◽  
Class Semigroups

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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