Geodesic
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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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. 
@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
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/