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On Two Problems Concerning Neutral Polyverbal Operations on Groups
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1975