Functional equations in the theory of semigroups
Matematičeskie zametki, Tome 7 (1970) no. 5, pp. 635-640.

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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.
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     author = {V. P. Anosov and P. E. Sobolevskii},
     title = {Functional equations in the theory of semigroups},
     journal = {Matemati\v{c}eskie zametki},
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     year = {1970},
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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/