Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 903-911
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A. A. Tuganbaev. Projective modules over bounded Dedekind rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 3, pp. 903-911. http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a19/
@article{FPM_2000_6_3_a19,
author = {A. A. Tuganbaev},
title = {Projective modules over bounded {Dedekind} rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {903--911},
year = {2000},
volume = {6},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a19/}
}
TY - JOUR
AU - A. A. Tuganbaev
TI - Projective modules over bounded Dedekind rings
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 903
EP - 911
VL - 6
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a19/
LA - ru
ID - FPM_2000_6_3_a19
ER -
%0 Journal Article
%A A. A. Tuganbaev
%T Projective modules over bounded Dedekind rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 903-911
%V 6
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_3_a19/
%G ru
%F FPM_2000_6_3_a19
If $A$ is a bounded Dedekind prime ring and $M$ is an $A$-module, then $M$ is a projective module if and only if $M$ is a $\pi$-projective nontorsion module, and either the module $M$ is reduced, or $A$ is a simple Artinian ring.
