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Functional equations in the theory of semigroups
V. P. Anosov, P. E. Sobolevskii Voronezh State University
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.
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Mathematical Notes, 1970, 7:5, 382–385
Bibliographic databases:
UDC:
513.88 Received: 14.05.1969
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
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\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
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\mathscinet{http://www.ams.org/mathscinet-getitem?mr=265486}
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\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 5
\pages 382--385
\crossref{https://doi.org/10.1007/BF01123851}
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