Geodesic
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
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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. 
@article{ZNSL_2000_272_a5,
     author = {A. I. Generalov and I. M. Zilberbord},
     title = {Basic submodules of modules over right noetherian serial {rings.~I}},
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     pages = {129--143},
     year = {2000},
     volume = {272},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_272_a5/}
}
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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/