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Matematicheskie Zametki, 1968, Volume 4, Issue 1, Pages 85–89 (Mi mzm6746)  
Neutral polyverbal operations

O. N. Matsedonskaya

M. V. Lomonosov Moscow State University
Full-text PDF (386 kB)
Abstract: It is shown that any neutral polyverbal subgroup $W$ is generated as a subgroup by the set of its fully neutral polywords, and a necessary and sufficient condition is given for an associative neutral polyverbal operation to be verbal. The associativity of verbal operations follows easily from these results and O. N. Golovin's theorem.
Received: 08.01.1968
English version:
Mathematical Notes, 1968, Volume 4, Issue 1, Pages 540–542
DOI: https://doi.org/10.1007/BF01429817
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: O. N. Matsedonskaya, “Neutral polyverbal operations”, Mat. Zametki, 4:1 (1968), 85–89; Math. Notes, 4:1 (1968), 540–542
Citation in format AMSBIB
\Bibitem{Mat68}
\by O.~N.~Matsedonskaya
\paper Neutral polyverbal operations
\jour Mat. Zametki
\yr 1968
\vol 4
\issue 1
\pages 85--89
\mathnet{http://mi.mathnet.ru/mzm6746}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=241542}
\zmath{https://zbmath.org/?q=an:0185.05103}
\transl
\jour Math. Notes
\yr 1968
\vol 4
\issue 1
\pages 540--542
\crossref{https://doi.org/10.1007/BF01429817}
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