Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 300-305
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K. I. Pimenov. A Krull–Schmidt Theorem for Artinian modules over local rings. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 6, Tome 265 (1999), pp. 300-305. http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a21/
@article{ZNSL_1999_265_a21,
author = {K. I. Pimenov},
title = {A {Krull{\textendash}Schmidt} {Theorem} for {Artinian} modules over local rings},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {300--305},
year = {1999},
volume = {265},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a21/}
}
TY - JOUR
AU - K. I. Pimenov
TI - A Krull–Schmidt Theorem for Artinian modules over local rings
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1999
SP - 300
EP - 305
VL - 265
UR - http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a21/
LA - ru
ID - ZNSL_1999_265_a21
ER -
%0 Journal Article
%A K. I. Pimenov
%T A Krull–Schmidt Theorem for Artinian modules over local rings
%J Zapiski Nauchnykh Seminarov POMI
%D 1999
%P 300-305
%V 265
%U http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a21/
%G ru
%F ZNSL_1999_265_a21
The article contains a generalization of Fitting's Lemma for Artinian modules of arbitrary length over some non-noetherian local rings. A counter-example to a strong form of Krull–Schmidt Theorem for Artinian modules over a local ring is constructed.
