Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 170-185
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A. I. Generalov; I. M. Zilberbord. Completion of modules over right noetherian serial rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 8, Tome 281 (2001), pp. 170-185. http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a7/
@article{ZNSL_2001_281_a7,
author = {A. I. Generalov and I. M. Zilberbord},
title = {Completion of modules over right noetherian serial rings},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {170--185},
year = {2001},
volume = {281},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a7/}
}
TY - JOUR
AU - A. I. Generalov
AU - I. M. Zilberbord
TI - Completion of modules over right noetherian serial rings
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2001
SP - 170
EP - 185
VL - 281
UR - http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a7/
LA - ru
ID - ZNSL_2001_281_a7
ER -
%0 Journal Article
%A A. I. Generalov
%A I. M. Zilberbord
%T Completion of modules over right noetherian serial rings
%J Zapiski Nauchnykh Seminarov POMI
%D 2001
%P 170-185
%V 281
%U http://geodesic.mathdoc.fr/item/ZNSL_2001_281_a7/
%G ru
%F ZNSL_2001_281_a7
We define a linear topology on arbitrary right module over right noetherian serial ring $R$ that allows to describe reduced pure-injective $R$-modules as modules which are complete in this topology. Using the operation of completion we describe pure-injective envelope of any right $R$-module.
