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A Remark on Separable Orders
Published online by Cambridge University Press: 20 November 2018
Extract
K = algebraic number field,
R = algebraic integers in K,
A = finite dimensional semi-simple K-algebra,
A. = simple K-algebra,
i = 1,…, n,
Ki = center of Ai, = 1,…, n,
G = R-order in A,
Ri = G ∩ ki.
All modules under consideration are finitely generated left modules. A G-lattice is a G-module which is R-torsion-free.
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- Copyright © Canadian Mathematical Society 1969
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