Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 173-182
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L. A. Skornyakov. When are all modules semichain modules?. Matematičeskie zametki, Tome 5 (1969) no. 2, pp. 173-182. http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a4/
@article{MZM_1969_5_2_a4,
author = {L. A. Skornyakov},
title = {When are all modules semichain modules?},
journal = {Matemati\v{c}eskie zametki},
pages = {173--182},
year = {1969},
volume = {5},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a4/}
}
TY - JOUR
AU - L. A. Skornyakov
TI - When are all modules semichain modules?
JO - Matematičeskie zametki
PY - 1969
SP - 173
EP - 182
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a4/
LA - ru
ID - MZM_1969_5_2_a4
ER -
%0 Journal Article
%A L. A. Skornyakov
%T When are all modules semichain modules?
%J Matematičeskie zametki
%D 1969
%P 173-182
%V 5
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1969_5_2_a4/
%G ru
%F MZM_1969_5_2_a4
A module is called a chain module if the structure of its submodules forms a chain. It is proven that all left $R$-modules can be decomposed into a direct sum of chain modules if and only if the ring $R$ is generalized uniserial.
