Decomposability of modules into a direct sum of ideals
Matematičeskie zametki, Tome 20 (1976) no. 2, pp. 187-193
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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.
@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/}
}
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/