Left ideals in maximal orders

Lecture Notes in Mathematics - Brauer Groups in Ring Theory and Algebraic Geometry ◽

10.1007/bfb0092234 ◽

1982 ◽

pp. 182-193 ◽

Cited By ~ 5

Author(s):

M. Artin

Keyword(s):

Maximal Orders

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Maximal orders over regular local rings of dimension two

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1969-0245572-2 ◽

1969 ◽

Vol 142 ◽

pp. 457-457 ◽

Cited By ~ 31

Author(s):

Mark Ramras

Keyword(s):

Local Rings ◽

Maximal Orders ◽

Regular Local Rings

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Maximal orders in Artinian rings

Journal of Algebra ◽

10.1016/0021-8693(84)90178-9 ◽

1984 ◽

Vol 90 (2) ◽

pp. 375-384 ◽

Cited By ~ 7

Author(s):

C.R. Hajarnavis ◽

S. Williams

Keyword(s):

Artinian Rings ◽

Maximal Orders

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Integral group rings of torsion-free polycyclic-by- finite groups are maximal orders

Communications in Algebra ◽

10.1080/00927878508823184 ◽

1985 ◽

Vol 13 (3) ◽

pp. 669-680 ◽

Cited By ~ 4

Author(s):

E. Jespers ◽

P.F. Smith

Keyword(s):

Finite Groups ◽

Group Rings ◽

Integral Group ◽

Integral Group Rings ◽

Maximal Orders ◽

Torsion Free

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

International Journal of Number Theory ◽

10.1142/s1793042111004654 ◽

2011 ◽

Vol 07 (05) ◽

pp. 1137-1149 ◽

Cited By ~ 3

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.

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