Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 187-193
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L. A. Skornyakov. Decomposability of modules into a direct sum of ideals. Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 187-193. http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a2/
@article{MZM_1976_20_2_a2,
author = {L. A. Skornyakov},
title = {Decomposability of modules into a direct sum of ideals},
journal = {Matemati\v{c}eskie zametki},
pages = {187--193},
year = {1976},
volume = {20},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a2/}
}
TY - JOUR
AU - L. A. Skornyakov
TI - Decomposability of modules into a direct sum of ideals
JO - Matematičeskie zametki
PY - 1976
SP - 187
EP - 193
VL - 20
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a2/
LA - ru
ID - MZM_1976_20_2_a2
ER -
%0 Journal Article
%A L. A. Skornyakov
%T Decomposability of modules into a direct sum of ideals
%J Matematičeskie zametki
%D 1976
%P 187-193
%V 20
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_2_a2/
%G ru
%F MZM_1976_20_2_a2
It is shown that each left $R$ module is isomorphic to a direct sum of left ideals of the ring $R$ if and only if $R$ is quasi-Frobenius and generalized uniserial.