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A Remark on Separable Orders

Published online by Cambridge University Press:  20 November 2018

Klaus W. Roggenkamp
Klaus W. Roggenkamp*
Affiliation:
Université de Montréal
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Extract

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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 4 , August 1969 , pp. 453 - 455
Copyright
Copyright © Canadian Mathematical Society 1969

References

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4. Higman, D. G., Representations of orders over Dedekind domains. Canad. J. Math. 12 (1960) 107–125.Google Scholar
5. Maranda, J. M., On the equivalence of representations of finite groups by groups of automorphisms of modules over Dedekind rings. Canad. J. Math. 7 (1955) 516–526.Google Scholar