POSITIONAL OPERATIVES WITH INVERTIBLE ELEMENTS
L. M. Gluskin, L N Èl'kin · Mathematics of the USSR-Sbornik · 1973
The main result of this paper is a proof of the fact that if is a -operative (i.e. an -ary operation on a set satisfying the identities where and are permutations, , , and , and if contains a two-sided invertible element (i.e. ), then a semigroup operation can be defined on such that for some invertible element of the semigroup and certain of its automorphisms or inverse automorphisms for which .Bibliography: 13 items.