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Matematicheskie Zametki, 1970, Volume 7, Issue 5, Pages 635–640 (Mi mzm9547)  
Functional equations in the theory of semigroups

V. P. Anosov, P. E. Sobolevskii

Voronezh State University
Full-text PDF (618 kB)
Abstract: 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.
Received: 14.05.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 5, Pages 382–385
DOI: https://doi.org/10.1007/BF01123851
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: V. P. Anosov, P. E. Sobolevskii, “Functional equations in the theory of semigroups”, Mat. Zametki, 7:5 (1970), 635–640; Math. Notes, 7:5 (1970), 382–385
Citation in format AMSBIB
\Bibitem{AnoSob70}
\by V.~P.~Anosov, P.~E.~Sobolevskii
\paper Functional equations in the theory of semigroups
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 5
\pages 635--640
\mathnet{http://mi.mathnet.ru/mzm9547}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=265486}
\zmath{https://zbmath.org/?q=an:0205.14901|0194.17602}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 5
\pages 382--385
\crossref{https://doi.org/10.1007/BF01123851}
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