Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 4, pp. 227-229
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A. A. Tuganbaev. Bezout modules and rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 4, pp. 227-229. http://geodesic.mathdoc.fr/item/FPM_2008_14_4_a14/
@article{FPM_2008_14_4_a14,
author = {A. A. Tuganbaev},
title = {Bezout modules and rings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {227--229},
year = {2008},
volume = {14},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_4_a14/}
}
TY - JOUR
AU - A. A. Tuganbaev
TI - Bezout modules and rings
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2008
SP - 227
EP - 229
VL - 14
IS - 4
UR - http://geodesic.mathdoc.fr/item/FPM_2008_14_4_a14/
LA - ru
ID - FPM_2008_14_4_a14
ER -
%0 Journal Article
%A A. A. Tuganbaev
%T Bezout modules and rings
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2008
%P 227-229
%V 14
%N 4
%U http://geodesic.mathdoc.fr/item/FPM_2008_14_4_a14/
%G ru
%F FPM_2008_14_4_a14
For any ring $A$, there exist a Bezout ring $R$ and an idempotent $e\in R$ with $A\cong eRe$. Every module over any ring is a direct summand of an endo-Bezout module. Over any ring, every free module of infinite rank is an endo-Bezout module.
