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
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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.
@article{ZNSL_1999_265_a21,
author = {K. I. Pimenov},
title = {A {Krull--Schmidt} {Theorem} for {Artinian} modules over local rings},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {300--305},
publisher = {mathdoc},
volume = {265},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_265_a21/}
}
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/