Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 129-143
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A. I. Generalov; I. M. Zilberbord. Basic submodules of modules over right noetherian serial rings. I. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 7, Tome 272 (2000), pp. 129-143. http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a5/
@article{ZNSL_2000_272_a5,
author = {A. I. Generalov and I. M. Zilberbord},
title = {Basic submodules of modules over right noetherian serial {rings.~I}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {129--143},
year = {2000},
volume = {272},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a5/}
}
TY - JOUR
AU - A. I. Generalov
AU - I. M. Zilberbord
TI - Basic submodules of modules over right noetherian serial rings. I
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2000
SP - 129
EP - 143
VL - 272
UR - http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a5/
LA - ru
ID - ZNSL_2000_272_a5
ER -
%0 Journal Article
%A A. I. Generalov
%A I. M. Zilberbord
%T Basic submodules of modules over right noetherian serial rings. I
%J Zapiski Nauchnykh Seminarov POMI
%D 2000
%P 129-143
%V 272
%U http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a5/
%G ru
%F ZNSL_2000_272_a5
It is proved that any right module over right noetherian serial ring $R$ contains a basic submodule. The structure of submodules of an indecomposable pure-injective $R$-module is investigated.
