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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 1968 Volume 4, Issue 1, Pages 85–89 (Mi mzm6746)

Neutral polyverbal operations

O. N. Matsedonskaya

M. V. Lomonosov Moscow State University

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.

UDC: 512.4

Received: 08.01.1968


 English version:
Mathematical Notes, 1968, 4:1, 540–542

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