A Remark on Separable Orders
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 453-455

Voir la notice de l'article provenant de la source Cambridge University Press

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.
Roggenkamp, Klaus W. A Remark on Separable Orders. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 453-455. doi: 10.4153/CMB-1969-055-4
@article{10_4153_CMB_1969_055_4,
     author = {Roggenkamp, Klaus W.},
     title = {A {Remark} on {Separable} {Orders}},
     journal = {Canadian mathematical bulletin},
     pages = {453--455},
     year = {1969},
     volume = {12},
     number = {4},
     doi = {10.4153/CMB-1969-055-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-055-4/}
}
TY  - JOUR
AU  - Roggenkamp, Klaus W.
TI  - A Remark on Separable Orders
JO  - Canadian mathematical bulletin
PY  - 1969
SP  - 453
EP  - 455
VL  - 12
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-055-4/
DO  - 10.4153/CMB-1969-055-4
ID  - 10_4153_CMB_1969_055_4
ER  - 
%0 Journal Article
%A Roggenkamp, Klaus W.
%T A Remark on Separable Orders
%J Canadian mathematical bulletin
%D 1969
%P 453-455
%V 12
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-055-4/
%R 10.4153/CMB-1969-055-4
%F 10_4153_CMB_1969_055_4

[1] 1. Auslander, M. and Goldman, O., The Brauer group of a commutative ring. Trans. Am. Math. Soc. 97 (1960) 367–409. Google Scholar

[2] 2. Curtis, C. W. and Reiner, I., Representation theory of finite groups and associative algebras. (Interscience, New York, 1962) Google Scholar

[3] 3. Hasse, H., Über p-adische Schiefkörper und ihre Bedeurung fur die Arithmetik hyperkomplexer Zahlsysteme. Math. Ann. 104 (1931) 495–534. Google Scholar

[4] 4. Higman, D. G., Representations of orders over Dedekind domains. Canad. J. Math. 12 (1960) 107–125. Google Scholar

[5] 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

Cité par Sources :