Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 757-763
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A. A. Nechaev. On a problem in the theory of rings of principal ideals. Matematičeskie zametki, Tome 15 (1974) no. 5, pp. 757-763. http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a11/
@article{MZM_1974_15_5_a11,
author = {A. A. Nechaev},
title = {On a~problem in the theory of rings of principal ideals},
journal = {Matemati\v{c}eskie zametki},
pages = {757--763},
year = {1974},
volume = {15},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a11/}
}
TY - JOUR
AU - A. A. Nechaev
TI - On a problem in the theory of rings of principal ideals
JO - Matematičeskie zametki
PY - 1974
SP - 757
EP - 763
VL - 15
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a11/
LA - ru
ID - MZM_1974_15_5_a11
ER -
%0 Journal Article
%A A. A. Nechaev
%T On a problem in the theory of rings of principal ideals
%J Matematičeskie zametki
%D 1974
%P 757-763
%V 15
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_5_a11/
%G ru
%F MZM_1974_15_5_a11
We give a negative answer to a question posed by A. V. Jategaonkar: is it not true that an arbitrary primary principal left ideal ring is a factor of a prime principal left ideal ring? We give a counter example in the class of finite complete primary principal ideal rings, the so-called Galois–Eisenstein–Ore rings.