Geodesic
On Two Problems Concerning Neutral Polyverbal Operations on Groups
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 763-765

Voir la notice de l'article provenant de la source Cambridge University Press

In his paper [2] O. N. Golovin introduced the notion of a neutral polyverbal operation on groups, of which Moran's verbal operations [4] and Gruenberg's and Šmelkin's operations [3,5] are special cases. The free and direct multiplication we shall call here trivial operations. It is known [5,4] that Mal'cev's postulate does not hold for nontrivial verbal operations but the postulate of associativity does. 
Macedonska-Nosalska, O. N. On Two Problems Concerning Neutral Polyverbal Operations on Groups. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 763-765. doi: 10.4153/CMB-1975-133-1
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[1] 1. Ašmanov, C.A., Macedonskaya, O.N., On regular operations satisfying MaPcev's postulate. Sib. Matem. Žurnal VII, N6, 1216-1229, (1966). Google Scholar

[2] 2. Golovin, O.N., Poly-identical relations in groups, Tr. Mosk. Matem. Ob-va, 12, 413-435 (1963). Google Scholar

[3] 3. Gruenberg, K., Residual properties of infinite soluble groups, Proc. London. Math. Soc, 7, No. 25, 29-62 (1957). Google Scholar

[4] 4. Moran, S., Associative operations on groups, L, Proc. Lond. Math. Soc, 6, No. 24, 581-596 (1956). Google Scholar

[5] 5. Šmel’kin, A.L., On the theory of regular products of groups. Matem. Sbornik, 51, No. 2, 277-292 (1960). Google Scholar

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