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## About separable self-orthogonal $n$-operations. (English)

Authors: Syrbu P. N.

### Abstract

Let $Q(\cdot)$ be a binary groupoid. A $n$-operation $A$ defined on the set $Q$ is called separable by $(\cdot)$ if $A(x\cdot y,\ldots,x\cdot y)= {A(x,\ldots,x)}\cdot{A(y,\ldots,y)}$ for every $x,y\in Q$. Each self-orthogonal $n$-operation is a principal isotope of a separable self-orthogonal $n$-operation. Some connections between idempotence and the spectrum of separable self-orthogonal $n$-operations are considered.

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