Neutral polyverbal operations
Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 85-89
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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.
@article{MZM_1968_4_1_a9,
author = {O. N. Matsedonskaya},
title = {Neutral polyverbal operations},
journal = {Matemati\v{c}eskie zametki},
pages = {85--89},
publisher = {mathdoc},
volume = {4},
number = {1},
year = {1968},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a9/}
}
O. N. Matsedonskaya. Neutral polyverbal operations. Matematičeskie zametki, Tome 4 (1968) no. 1, pp. 85-89. http://geodesic.mathdoc.fr/item/MZM_1968_4_1_a9/