scholarly journals Maximal orders in rational cyclic algebras of composite degree

1939 ◽  
Vol 46 ◽  
pp. 82-82
Author(s):  
Sam Perlis
Keyword(s):  
Maximal Orders ◽  
Cyclic Algebras

scholarly journals Division algebras and maximal orders for given invariants

2016 ◽  
Vol 19 (A) ◽  
pp. 178-195 ◽  
Author(s):  
Gebhard Böckle ◽  
Damián Gvirtz
Keyword(s):  
Function Fields ◽  
Maximal Order ◽  
Global Field ◽  
Division Algebras ◽  
Wild Ramification ◽  
Maximal Orders ◽  
Cyclic Algebras

Brauer classes of a global field can be represented by cyclic algebras. Effective constructions of such algebras and a maximal order therein are given for$\mathbb{F}_{q}(t)$, excluding cases of wild ramification. As part of the construction, we also obtain a new description of subfields of cyclotomic function fields.

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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