Abstract
Let T be an operator, T: D → E, T has a superposition with respect to an element e ϵ E iff ∃ a binary operation ∗ on D such that T(x ∗ y) = e when T(x) = T(y) = e . All operators having a superposition found until now have commutative superposition operations. In this paper a class of nonlinear operators defined on a linear space is constructed, having a superposition with respect to 0, the superposition being a noncommutative semigroup operation.
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