Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 121-129
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O. V. Lyubimtsev. Algebraically compact Abelian groups with $\mathrm{UA}$-rings of endomorphisms. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 121-129. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a11/
@article{FPM_2015_20_5_a11,
author = {O. V. Lyubimtsev},
title = {Algebraically compact {Abelian} groups with $\mathrm{UA}$-rings of endomorphisms},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {121--129},
year = {2015},
volume = {20},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a11/}
}
TY - JOUR
AU - O. V. Lyubimtsev
TI - Algebraically compact Abelian groups with $\mathrm{UA}$-rings of endomorphisms
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2015
SP - 121
EP - 129
VL - 20
IS - 5
UR - http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a11/
LA - ru
ID - FPM_2015_20_5_a11
ER -
%0 Journal Article
%A O. V. Lyubimtsev
%T Algebraically compact Abelian groups with $\mathrm{UA}$-rings of endomorphisms
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2015
%P 121-129
%V 20
%N 5
%U http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a11/
%G ru
%F FPM_2015_20_5_a11
A ring $K$ is said to be a unique addition ring ($\mathrm{UA}$-ring) if on its multiplicative semigroup $(K, \cdot)$ it is possible to set only one binary operation of $+$ turning $(K, \cdot, +)$ into a ring. We call an Abelian group an $\mathrm{End}$-$\mathrm{UA}$-group if its endomorphism ring is a $\mathrm{UA}$-ring. In this paper, $\mathrm{End}$-$\mathrm{UA}$-groups are found in a class of algebraically compact Abelian groups.
