Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 325-335
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A. G. Zavadskii. The structure of orders all of whose representations are completely decomposable. Matematičeskie zametki, Tome 13 (1973) no. 2, pp. 325-335. http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a18/
@article{MZM_1973_13_2_a18,
author = {A. G. Zavadskii},
title = {The structure of orders all of whose representations are completely decomposable},
journal = {Matemati\v{c}eskie zametki},
pages = {325--335},
year = {1973},
volume = {13},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a18/}
}
TY - JOUR
AU - A. G. Zavadskii
TI - The structure of orders all of whose representations are completely decomposable
JO - Matematičeskie zametki
PY - 1973
SP - 325
EP - 335
VL - 13
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a18/
LA - ru
ID - MZM_1973_13_2_a18
ER -
%0 Journal Article
%A A. G. Zavadskii
%T The structure of orders all of whose representations are completely decomposable
%J Matematičeskie zametki
%D 1973
%P 325-335
%V 13
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1973_13_2_a18/
%G ru
%F MZM_1973_13_2_a18
The paper describes orders all of whose representations are completely decomposable, lying in a matrix algebra over the quotient field of a complete local Dedekind ring. For Morita-reduced orders an isomorphism criterion is provided in terms of the lattices of irreducible modules.
