Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 635-640
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V. P. Anosov; P. E. Sobolevskii. Functional equations in the theory of semigroups. Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 635-640. http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a11/
@article{MZM_1970_7_5_a11,
author = {V. P. Anosov and P. E. Sobolevskii},
title = {Functional equations in the theory of semigroups},
journal = {Matemati\v{c}eskie zametki},
pages = {635--640},
year = {1970},
volume = {7},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a11/}
}
TY - JOUR
AU - V. P. Anosov
AU - P. E. Sobolevskii
TI - Functional equations in the theory of semigroups
JO - Matematičeskie zametki
PY - 1970
SP - 635
EP - 640
VL - 7
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a11/
LA - ru
ID - MZM_1970_7_5_a11
ER -
%0 Journal Article
%A V. P. Anosov
%A P. E. Sobolevskii
%T Functional equations in the theory of semigroups
%J Matematičeskie zametki
%D 1970
%P 635-640
%V 7
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1970_7_5_a11/
%G ru
%F MZM_1970_7_5_a11
It is established that the collection of regular solutions of the equation $f(t+s)=G[f(t),f(s)]$, where $G(\alpha, \beta)$ is a symmetric polynomial, coincides with the collection of semigroups.