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.

UDC: 513.88

Received: 14.05.1969

 English version: Mathematical Notes, 1970, 7:5, 382–385

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